{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# “数字信号处理”课程设计——工作台\n",
    "\n",
    "本文件为课程设计项目“语音信号增采样”提供给一个设计、开发和测试的环境。\n",
    "\n",
    "本文件属于课程设计的“源代码”部分，学生需要**连同课程设计报告一并提交**，并请注意以下要求：\n",
    "\n",
    "* 保留完整的增采样方法的实现代码和输出结果，并进行适当的注释和说明。\n",
    "* 删除所有多余的调试代码、无用输出结果等。\n",
    "* 确保不需要任何改动（例如修改参数）就可以直接运行（即在JupyterLab中使用“Run All Cells”功能）。\n",
    "* 本文件中可以包含原理说明、结果分析等非编程实现类的内容，但**只作为学生自己参考用**。教师将仅以课程设计报告中的相关内容作为评分依据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialization for this notebook.\n",
    "\n",
    "import numpy as np\n",
    "from scipy import signal\n",
    "from scipy import fft\n",
    "from scipy import interpolate\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Import everything from `lib/dsp.py`.\n",
    "from lib.dsp import *\n",
    "\n",
    "# Un-comment the following line to use interactive matplotlib widget.\n",
    "# %matplotlib widget"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 引言\n",
    "\n",
    "以下的代码通过对一组特定信号的频谱分析，引导学生思考如何通过数字滤波的方法实现增采样。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "定义一个信号发生函数，用于生成类似语音信号的信号序列。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gen_signal(fs, n):\n",
    "    \"\"\"Generate a test signal that comsists of several sin components.\"\"\"\n",
    "    # Create a list of parameters, (A, w, phi), for each sin component.\n",
    "    x_comp = []\n",
    "    x_comp.append((0.30, 2*np.pi/fs * 1.0e3, 0))\n",
    "    x_comp.append((0.25, 2*np.pi/fs * 1.5e3, 0))\n",
    "    x_comp.append((0.20, 2*np.pi/fs * 2.0e3, 0))\n",
    "    x_comp.append((0.15, 2*np.pi/fs * 2.5e3, 0))\n",
    "    x_comp.append((0.10, 2*np.pi/fs * 3.0e3, 0))\n",
    "    \n",
    "    # Generate the sequence by combining all sin components.\n",
    "    x = np.sum([seq_sin(A, w, phi, 0, n-1) for A, w, phi in x_comp], axis=0)[0]\n",
    "\n",
    "    return x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "画出三个信号及其频谱：\n",
    "- 低采样率(8KHz)信号 `x`\n",
    "- 对 `x` 进行样本间“插零”后的信号 `x_insert_0`\n",
    "- 目标高采样率(8KHz*6=48KHz)信号 `x_target`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\14491\\AppData\\Local\\Packages\\PythonSoftwareFoundation.Python.3.9_qbz5n2kfra8p0\\LocalCache\\local-packages\\Python39\\site-packages\\numpy\\core\\fromnumeric.py:86: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n",
      "  return ufunc.reduce(obj, axis, dtype, out, **passkwargs)\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 864x432 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_len = 128     # length of the low sampling rate signal\n",
    "fs_x = 8e3      # the low sampling rate\n",
    "up_factor = 6   # upsampling factor\n",
    "\n",
    "fs_up = fs_x * up_factor\n",
    "x_len_up = (x_len - 1) * up_factor + 1\n",
    "\n",
    "# Generate the low sampling rate signal.\n",
    "x = gen_signal(fs_x, x_len)\n",
    "\n",
    "# Insert zeros between samples.\n",
    "x_insert_0 = np.zeros(x_len_up)\n",
    "x_insert_0[::up_factor] = x\n",
    "\n",
    "# Generate a high sampling rate target signal.\n",
    "x_target = gen_signal(fs_up, x_len_up)\n",
    "\n",
    "# Plot the signals for inspection.\n",
    "fig, axs = plt.subplots(3, 2, figsize=(12, 6))\n",
    "fig.tight_layout(h_pad=4)\n",
    "TITLES = ['sequence', 'spectrum']\n",
    "plot_signals(['x'], [x], fs_x, axs[0, :], TITLES)\n",
    "plot_signals(['x_insert_0'], [x_insert_0], fs_up, axs[1, :], TITLES)\n",
    "plot_signals(\n",
    "    ['x_target', 'x_insert_0'],\n",
    "    [x_target, x_insert_0],\n",
    "    fs_up, axs[2, :],\n",
    "    TITLES\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 基于数字滤波的增采样方法设计\n",
    "\n",
    "### 原理分析\n",
    "\n",
    "观察以上“引言”部分的代码和运行结果, 可以发现:\n",
    "* 在频域上, $H[x_{insert0}]$是$H[x]$的周期延拓\n",
    "* 在时域上, $h(x_{insert0})$与$h(x_{target})$同周期同相位\n",
    "\n",
    "将低采样率的信号 `x` 通过插零得到 `x_insert_0` ，再输入**线性相位低通数字滤波器**后，得到接近目标高采样率信号 `x_target` 的信号 `x_filter` 。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### 原理验证\n",
    "\n",
    "根据以上的原理分析，编写程序实现该方法的核心代码，以验证方法的正确性。\n",
    "\n",
    "【提示】在这个阶段，为了快速简洁地验证原理，代码中很多参数可以通过经验临时设定，并使用“硬代码”(hardcode)写死。\n",
    "\n",
    "* 凭经验初步设定数字滤波器的技术指标。\n",
    "* 计算满足指标的数字滤波器的系数 `b` 和 `a`。\n",
    "  * 【提示】任意一种IIR或FIR滤波器均可，建议使用线性相位FIR滤波器。\n",
    "* 将插零信号 `x_insert_0` 输入以上滤波器，得到输出信号 `x_filter`\n",
    "* 分析 `x_filter` 与 `x_target` 的异同，验证原理的正确性。\n",
    "  * 【提示】 `x_filter` 相对于 `x_target` 是有延迟的，且需要经过一段时间才能达到稳定。截取两个信号的“有效”部分并对齐，才可得到有意义的比较。\n",
    "  * 视觉评估：观察两个信号的时域序列、频谱的相似程度。\n",
    "    * 将信号 `x_filter` 与 `x_target` 画在同一个坐标系中进行比较。\n",
    "  * 客观评估：计算两个信号之间的信噪比SNR。\n",
    "    * 【提示】`x_target` 可以认为是“信号”，而 `x_filter` 可以认为是在 `x_target` 基础上添加了噪声所导致的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 基础参数设定\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# All frequencies are in Hz\n",
    "# 采样频率 8kHz * up_factor\n",
    "fs = 8e3 * up_factor\n",
    "# 语音信号频率范围 300-3.4kHz\n",
    "w_p, w_st = 3.4e3, 4.6e3\n",
    "R_p_target = 1      # in dB\n",
    "A_s_target = 40     # in dB\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 91, R_p = 0.167448, A_s = 40.961639\n",
      "Avg_gd = [45.0]\n",
      "b = [-1.04652447e-03 -1.04809605e-03 -6.93600642e-04  1.35283447e-18\n",
      "  8.91837843e-04  1.73611328e-03  2.24198080e-03  2.16197895e-03\n",
      "  1.38451419e-03 -2.24903915e-18 -1.68644883e-03 -3.20999265e-03\n",
      " -4.06323719e-03 -3.84897391e-03 -2.42591515e-03  3.23761695e-18\n",
      "  2.87670088e-03  5.41459711e-03  6.78678989e-03  6.37424033e-03\n",
      "  3.98834353e-03 -4.23251126e-18 -4.67814651e-03 -8.77363249e-03\n",
      " -1.09714877e-02 -1.02942946e-02 -6.44382027e-03  5.13875255e-18\n",
      "  7.60061267e-03  1.43331799e-02  1.80607228e-02  1.71169867e-02\n",
      "  1.08534049e-02 -5.86463738e-18 -1.32781885e-02 -2.56814152e-02\n",
      " -3.33985515e-02 -3.29347860e-02 -2.19633620e-02  6.33392944e-18\n",
      "  3.12736962e-02  6.81393868e-02  1.05424285e-01  1.37431198e-01\n",
      "  1.59025829e-01  1.66648149e-01  1.59025829e-01  1.37431198e-01\n",
      "  1.05424285e-01  6.81393868e-02  3.12736962e-02  6.33392944e-18\n",
      " -2.19633620e-02 -3.29347860e-02 -3.33985515e-02 -2.56814152e-02\n",
      " -1.32781885e-02 -5.86463738e-18  1.08534049e-02  1.71169867e-02\n",
      "  1.80607228e-02  1.43331799e-02  7.60061267e-03  5.13875255e-18\n",
      " -6.44382027e-03 -1.02942946e-02 -1.09714877e-02 -8.77363249e-03\n",
      " -4.67814651e-03 -4.23251126e-18  3.98834353e-03  6.37424033e-03\n",
      "  6.78678989e-03  5.41459711e-03  2.87670088e-03  3.23761695e-18\n",
      " -2.42591515e-03 -3.84897391e-03 -4.06323719e-03 -3.20999265e-03\n",
      " -1.68644883e-03 -2.24903915e-18  1.38451419e-03  2.16197895e-03\n",
      "  2.24198080e-03  1.73611328e-03  8.91837843e-04  1.35283447e-18\n",
      " -6.93600642e-04 -1.04809605e-03 -1.04652447e-03]\n",
      "a = 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute window property.\n",
    "# 过渡带宽度\n",
    "f_tran = abs(w_p - w_st)\n",
    "# 过渡带宽度需表示为 过渡带带宽 / 奈奎斯特频率\n",
    "width = f_tran / (fs / 2)\n",
    "# 使用kaiserord计算凯泽窗参数，第一个参数为阻带最小衰减(单位dB), 第二个参数为过渡带宽度\n",
    "N, beta = signal.kaiserord(A_s_target, width)\n",
    "window = ('kaiser', beta)\n",
    "\n",
    "# Compute the FIR coefficients.\n",
    "w_c = (w_p + w_st) / 2\n",
    "FIR_b = signal.firwin(N, w_c, window=window, fs=fs)\n",
    "FIR_a = 1\n",
    "\n",
    "# Analyze the filter.\n",
    "bands = [\n",
    "    ('pass', 0, w_p),\n",
    "    ('tran', w_p, w_st),\n",
    "    ('stop', w_st, fs/2)\n",
    "]\n",
    "\n",
    "R_p, A_s, Avg_gd = analyze_filter(bands, b=FIR_b, a=FIR_a, show_plot=True, samples_per_band=512,\n",
    "                          fs=fs, tick_format=tick_format_to_khz, amp_in_dB=True)\n",
    "print('N = %d, R_p = %f, A_s = %f' % (N, R_p, A_s))\n",
    "print(f'Avg_gd = {Avg_gd}')\n",
    "print('b =', FIR_b)\n",
    "print('a =', FIR_a)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 获取滤波后序列\n",
    "x_filter = signal.lfilter(FIR_b, FIR_a, x_insert_0)\n",
    "# Plot the signals for inspection.\n",
    "fig, axs = plt.subplots(1, 2, figsize=(12, 2), squeeze=False)\n",
    "TITLES = ['sequence', 'spectrum']\n",
    "plot_signals(\n",
    "    ['x_target', 'x_filter'],\n",
    "    [x_target, x_filter],\n",
    "    fs_up, axs[0, :],\n",
    "    TITLES\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观察到, 经过滤波器后的`x_filter`信号被衰减了`up_factor`倍, 且其相位与`x_target`相比出现了一定的延迟"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def SNR(target, actual):\n",
    "    \"\"\"\n",
    "    计算目标信号和实际信号之间的信噪比\n",
    "    \"\"\"\n",
    "    return 10 * np.log10(np.sum(target**2) / np.sum((target - actual)**2))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### SNR单元测试"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\14491\\AppData\\Local\\Temp/ipykernel_15964/323221251.py:5: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  return 10 * np.log10(np.sum(target**2) / np.sum((target - actual)**2))\n"
     ]
    }
   ],
   "source": [
    "# 输入相同的信号, 信噪比为无穷大\n",
    "assert SNR(np.ones(512), np.ones(512)\n",
    "           ) == np.inf, \"Error! SNR is not inf when input same signal\"\n",
    "# 输入信噪比为 0 的信号\n",
    "assert SNR(np.ones(512), np.zeros(512)) == 0.0, \"Error! Expect SNR is 0\"\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNR = 53.06106197643105 dB\n"
     ]
    },
    {
     "data": {
      "image/png": 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hsbGRV199lZUrV5JIJNi+fTvz58/vdaxRxuXAHqVUI4CI/Ao4D6gWEY/rbZ4EZK0jqZT6IfBDgKVLl+bVNaw9zYUl39f/QNBjgKYYKf6A0yGgIo73raKyhk4jhCdWGt44b6KdiFFBVa3jaVbh0hDNQbuTpK8Sf6Uj9qOtxZ942dHqnFujrBopc0oTtrcVf1JdKvQoUFFL3FdF0CqNWGxsC6XAME1sDET1vqk98sgjeL1e3ve+93HPPfewZs0a/vjHP/Zab+HChZimyaJFi/jOd77Dxz/+cR5++GEWLVrE1q1b+/Qsvetd72LSpEnMmzeP2267jSVLllBVVYXP5+Pxxx/ns5/9LIsWLWLx4sVdiUR33HEHH/3oR0drEtB+YIWIBMUpOnsZsBl4Hni3u84HgN+MtGFaNJ+e6DFAU6yMak+zxFppV2WEPB7CZiX+REuhTcoJnxvmEAhWEFVecD3mxU6FG+ZQXtUAQKy9+EVzJJUsGqxxktOAjubjVNU0FNKsfkmGWwAIVtbR5K8m1FYiHhBlYYmBRwQLEyOLaL799tu5/fbbATBNk9WrV2fdldfr7XUjffPNN7umv/nNbwJw8cUXc/HFF3fNNwyDb33rW1RUVNDU1MTy5ctZsGABAIsXL+bFF1/sdax3vetdvOtdpdHOfqAopVaLyOPAOiAJvIHjOX4K+LmIfMOd96ORts227ZE+pKYI0GOAplgZ1aLZjDlhDiEg6q2iKloaNRbLrA6afU5sYJuEMEogrCQWDROQBOKvotwVnKVQrSTqepV95VVYfqd2cGdLYyFNygnLFc3llTXYgRoqCZNMxPF4R7yU7oAQ28J2X3ApMTHU4GqmDpXrrruOlpYW4vE4X/rSlxg3blxB7CgWlFJfAb7SY/ZuYHkBzOlGe5o1w4QeAzSDYVSLZk+yg4jhvJ5J+KopD5dGZYSAHSbpDQHQaVTiLYHawZ1tzfgBKauksmYMAHYJ1A6OhZ2QHV95NUo5Xq1SCCtRMcezXF5Zg6QSL1uaqGko7kxvIU00GyaG1X9HwI0bN/L+978/Y57f7+/T+5QLL7zwwqC31YwgSnuaNXoM0BQPo1o0m1aEuOFkz9r+KipVabzCDhDF9jhez7CnkkAJVEaIdjrnVnzl+PwBOlUAKYFqJcmoUy3DFwxherwAxEsgrIR4JzHlxe/14SlPVSs5VvyiWdko6fY0m1nCM3qyYMEC1q9fP8yWaYoRHZ6hAT0GaIqHUZ0I6LMiJExHfKpgLWUSL4mW1EEVxfZWABDzVlFWAkleKY+tJ+DYPZy1g/OJ5Ypmf7CSUI2TeJnsLH4PuZHoJCzOA6Ev5CRehkvAQy5KoVLDjuHBFKWFkaZPlPY0azSaIiIvollErhaRbSKyU0TuybL8DhFpFJH17s+H83Hc/vBZYRJmEADDfYXd1lzc8arxWBSfJMHn2J3wVZdES+pY2LHRE3DDSszKkmhJrWKOaC4rryRU7ZTKK4WW1EYiTBRHNAeq3GolJdAmXuj2NGM4Zf2sLK20NRrQ1TM0Gk1xMWTRLCIm8APgGmAecIuIzMuy6mNKqcXuzwNDPW4u+FUEy+OIT69bO7ijubi760VSYQ5+x2NrB2qocltSFzOJiGO3N+iI5kiJhJXYKdFcUYnH63NbUhe/aDaTYWKG8xalvNpJvEyUQFiJYIMrmsVwosPsZGGSATXFj1I2sWiYcEdLoU3RaDRFQKHHg3x4mpcDO5VSu5VSceDnON2lCk5ARbG8TiKgr8LxNKc6qRUrkU5HaBquaKasGq9YhDuLO0QjEXFjg8sc0ZzwVlJWAh5y4p0klYHfrZzRIRWY8eIX+x6rWzRXuJ5mK1z8MeRGmqdZTFc0W1o0a/rAVhz9l+UEvzWl0JZoNJoi4Ni/LCvoeJAP0TwROJD2+aA7ryfvEpE3ReRxETkj245E5E4RWSsiaxsbhx5GUaaiKNfTHKh0PM3xjuL2IsZccWy4scFGWTUA7S3F7UVMjw0GSPiqKLeLP35c3NhgMZxLIWxU4E0U9wMKgNcKd8XrV1S5YSUlUM/bUKrL02y4nmbVRyttjUahmGIf6H9FjUZzWjDZPljQ449UIuBvgalKqYXAs8DD2VZSSv1QKbVUKbW0oWFozSWsZJKgxFA+R3wG3S51iSJP8uoZG5yqjBBuLW4PueWGOQQqHNFs+6sJqY6iDysxEp1dscEAUU8If6L4PeQ+O9IVr296PLQRxIi2FNaofrBtG0MUiBPLbLieZtVHq9tcuPvuu5k/fz533303999/P4888gjgdO96/PHHAfjud79LOBweovWaQmD30WZdo0mhxwDNSJKPknOHgHTP8SR3XhdKqXTF9wDwL3k47imJhNupAMTvhGeUVzui2S7yV9jxiOPl9LqiORVWEi3ysJL0hDpnohqfWETCHZS5QroYMZNhom6YA0DcW0kosbuAFuWG3+6O1wc3rKTI28TbtuU8pac8zebQPc0//OEPOXnyJKZp9rnOd7/7XW677TaCwWCf6/TEsqxT7lMzMuhEQE1/6DFAM5LkQzSvAWaJyDQcsXwz8L70FURkvFLqiPvxemBLHo57SqIdbY5odj3NocoabCVF/wo7GemuGwwQqHREc6zIw0qIdwJQ5trdFVbS2lTUotmTDBOTbtGc9FVR3lH8YSXp8foAYSOEZzg85L+/B45uzMuuDGVDohP/2EVw479hetzhp4c3cc2aNXzoQx/itddew7Isli9fzmOPPcZZZ52Vsd71119PR0cH55xzDp/73OfYsmULFRUV/P3f/33XOvfddx+HDx/mkksuob6+nueff55nnnmGr3zlK8RiMWbMmMGDDz5IRUUFU6dO5aabbuLZZ5/lM5/5DDfffHNefm/NENCiubDk8frvYtwCuObeU66ixwBNsTLk8AylVBL4BPA0jhj+hVLqLRH5mohc7672SRF5S0Q2AJ8E7hjqcfsj6oY5GG7pNsM0aZfif4WddD22voAjiLrDSorbQy7xDiLKh+E+mafCSjqLvHawx4qQMLrDMyx/FSHVWUCLcsOJ1+8W+1FPCH+yyGOxuwSQOP+KYCkDejQ4WbZsGddffz1f/OIX+cxnPsNtt93W62YJ8MQTT1BWVsb69eu56aabsh7yk5/8JBMmTOD555/n+eef58SJE3zjG9/gueeeY926dSxdupRvf/vbXevX1dWxbt06fbMsEnQN79MTPQZoipW8dARUSv0O+F2PeV9Om/4c8Ll8HCtXEjFH+Jj+Hq+w48UtLOx4BABvmeMhryiRsBKxYkTFT0rG+SpqgOKvVuKxY8Q8oe4ZgWr8kiAa7iAQrCicYadA2TZ+4hmiOe6ppDayJ/8H68cjNBDi4Q4CLTuIl0/G686zxECydAX88pe/zLJlywgEAtx33315s2HVqlVs3ryZ8847z7EpHmflypVdy/u68WoKhPY0F5Y8Xv8DRY8BmmJk1LbRjkdSojnzFba3yMuJqbiTrOAvc+wOVdViK4EiDysxkhFi+Ls+B0KOpzneXtxhJT47RtjsTjpNr1ZSrKI5kYjjExvxdj8QJn2VlHcWd1hJqrtbqlIJgI2JZEn2ampqoqOjg0QiQTQapby8vNc6g7NBccUVV/Doo49mXZ6v42jyg45pPn3RY4CmGBm1bbQTMUd8etJEc9QTIpAs7soIKU9zSrAZpkmHBJEiDysRK0pCfF2fg24ZtGKvVuJVUSyzOzzDU+54yIs5rCSSagXv7bbb9lcRUkUumt1X7SLdw44SA6G3aP7IRz7C17/+dW699VY++9nPDum4oVCI9nbnul+xYgUvv/wyO3fuBKCzs5Pt27cPaf+a4UPp6hmnLXoM0BQjo1Y0W12iufsVdkk03Ei4orms28tZCg03PFaUeFpscKk03PCpOHaaaC6FJjgJ9y2K+Lo9zaqsmoAkiEaKOB7bDcPI8DSL6SQIpvHII4/g9Xp53/vexz333MOaNWv44x//OOjD3nnnnVx99dVccsklNDQ08NBDD3HLLbewcOFCVq5cydatWwe979GCiFS7NfS3isgWEVkpIrUi8qyI7HD/rxlpuxTa03w6oscATbEyasMzLDem2VfW7WlOlEJlhESEuPLg83T/aUqh4UbPhLpSabgRIIadFhvsDzl2x4o4rCTmNpIx0kSzUebomY7mEwTKivP1YjZPM2Ji9PA033777dx+++0AmKbJ6tWr+9xnR9r1/NWvfrVr+qGHHuqavuuuu7jrrru6Pl966aWsWbOm17727t2by68xWvke8H9KqXeLiA8IAp8H/qCUuldE7gHuAYbm8hsoSicCno7oMUBTrIxeT3MqoS4tPKMUGm5IMkI0LcwBSqPhhseOkzS67S6Vhht+lZlQF3Q7RyaKuMRfPOq8RTF93XaXQlgJWWKalZiYWhgVFBGpAi4EfgSglIorpVqAG+huRPUwcONI22bb2tOs0WiKh1HrabZTCXXpyVxuw41wuJ1gRVWBLDs1PRPqoDQabnjtKFFv5jkt9oYbVjKJXxLg7RafqWolxRxWkoj2TnIthbCS7kTAtIYBhokhyml8YmRvJLBx40be//73Z8zz+/2n9D5pBsQ0oBF4UEQWAa8DfwOMTauvfxQYO+KW6QcqDXoM0BQPo1Y0Kzc2OFXvGDIrIxStaLaixHt4mkuh4YZXxbCMTLEfNkJFHVYSi3YSBCQtoS7kiuZiDitJpDzN/t5hJdEi9pCnyocZ6eEZhjMEWckkhi+7aF6wYAHr168fbutOZzzAEuAupdRqEfkeTihGF0opJSJZ3b4icidwJ8DkyZPza5munqFBjwGa4mHUhmfQVYWiWzSnGm6E24pXWJhWlLgEMuZZ/ioqizysxGdnxgZDquFG8YaVRN0qFOkJdabHQ7sqK+pqJUk3Xj899CjfYSXDUuorS3hGyutsW4NvpV1oRkFZtIPAQaVUym33OI6IPiYi48Hp6gocz7axUuqHSqmlSqmlDQ0N2VYZNLb2NBeEUfCdHjH0uTq9GLWiWSUjWErw+UqrMoJpxUj08NgSqMYnyaKujOAnjm32CCvxVFJmFa9ojrktyw1vptgv9molqSRXb9pblHyGlQQCAZqamvJ/M1A2tgIjXTSbjqfZLtHSYkopmpqaCAQC/a9cpCiljgIHRGSOO+syYDPwBPABd94HgN+MvHFaNI80w3b9j0JGw/WvGRijNjxDEhFi+Aim3aADlcPfcCMei7Hpe++kPrIHbvkZk2cvHtD2HjvaSzQbQSfJq73lBGXloWybDZnGw/to+dE7iZtlTPnEE1S45ypX/CqWkVAHqYYbwyuat77+PFW//SsO1Cxn2V0/yfBi9kc86ryNkLSukQBhM4R3mDtHrnnifqav+yd2zrmTc2/54oC2TdXyTg89ClXnr1rJpEmTOHjwII2Njb2WxdpP4rEiWIEafIFglq37JtbehNcKY7Rt6ZqXiEfxho8TD1gZv08+UUqRaGvEUEkor8fj9fW/0QAIBAJMmjQpr/ssAHcBP3UrZ+wG/hLHqfILEfkQsA9470gbpXXbyHOq61/Tm1Fy/WtyZPSK5mSEqPhJv62XVw5/w43Xf/0dVoZfAmD9/97D5M/834C299gxIp7MeGtPeTXgVkaYOC0vdvZkzy/uYbm1EyxY9fg/s+KD/5rztsq2CRBH9fDYOg03hs87rmwb31OfYjyNjG9+ijdf+CULL829BWrCLd1m9rA7aobwJ4dPNJ88fph5r3+FcokS2vptju2/ibGTZ+W8faoGeXo5RdPjpSNPYSVer5dp03p/z7a89iyLf/duAI5IAw2f3zwgAbr6vvcz6eSL1H91X9e8Azve5Ixfv5e1S+5l0fUfG7Lt2Xj1Z//Eyu3fBOCN8vNYcPfvhuU4pYxSaj2wNMuiy0bYlAx0c5ORp6/rX6PRjOLwDCMZJd6jCkW5Wzt4uCojKNtm/PafsN0zm1cm/iULOlfRdvzggPbhszM71AH4ylNhJcMj9ltPNrKo+Vleq38nb/qXMvXA/w7IxROLRTBEZVShAKfhhn8YG25sXfMM0+29vHbWV2ikGvuNnwxo+6SbUOfp4eGMeSsJWMOXeLn92QcolyhvnPcf+MRi/58eGtD2qSRXf1lmm+8OqcCIDZ/Y73zpP2mjnNWL/5nxqpGdr/1+QNubyQhxyX5NJjuH75qcuPMnbPOeySvjb2dBx6u0Nx0elmNp8o8OEdBoNMXE6BXNVpRYjzCH4W64sWv9n5hqH+Dk3JupXn4zpih2v/LLAe3Dq2IZHeqguzJCfJgqI2x/7kf4JUHN+R+mbeb1jFPHObhlVc7bxyKO+JQeojm94cZwEH71QTpUGfOv+hDbai5lTvsqkq4XNhcSbmywp0d4RtJXSbk9TKJZKcbt+iXbPLM5+4r3sdmcQ+3+Zwa2i4RbTrEs0+5Oc/ia4HS0NnFW6wtsrruSeZe/nw4VILzh1wPah2HFeonm4a5WsnPdH5hsH6Jl7i1ULbsJj9jsfvnxYTmWZjjIFM1/+vHnePEn/1ggWzQaTSFY98KveeVb7y60GcAoFs2mFSXR4wY93A03Wl5+kLDyc+Zlf8ncs5ZzlDrUzucHtA+/imF7MkXzcDfcqN3+S3YY05m56G1MX3kDAIdfz/0VdiqhTryZIs5MDyvJM5H2Fs5sfp6NNZdRHqoicOaVlBFn+9rnct6HFXMb4PTwNNu+SkJqeETz7g1/Zqq9n6ZZTnjoyfEXMi2+g7amYznvQxJRbCX4/VnCSoZJNG979kECkqDqbX9JqCLEjrJFjG18dUD7MK1Ir3h9r89PpwoMW7WS1lceolP5OfOK25m76G0cpxZrx+Db8WpGlvSKQcq2uWj/v3Phzn8poEUajWakWfLCHbyt49lCmwGMYtGcLaEOoF1CmLGWvB8vGu5gdtOzbKq6iKqaWgzTYF/1uUzvWIuVzL2cliOaM8VQqNbpKWB15r/qx77NrzEjuZPGGe9CRJgwaSq7jakED76Y8z5Sotns4bH1hxwvYmdr/hNK3vrDfxOUGKEVTnL/3JXXEFcmbZty99om46kqFJlhDipYS5nEu0rS5ZMTLz9ETHmZd/kdANQtvBpDFDtWDyDONhEmiq9X0mPMW03QGp6qH6Ftv2C3MYW5Z1/gHGvKxUxURzm0e0s/W3bjXJO9s8zbJIQZy394RjTcztyTf2BT9SVUVtZgmgZ7q5YzrX0ttqVjZUuB9PAMHaqh0Zze2FbmQ3QhGL2i2YqRzHKD7jBrCMTy7/nc9NxPqCRM2bLurkXmrEupopNdb76U8378xHtVoaisriOuTFRH/sXnkRceIK5MZl/+wa55xxtWMju6iUiOlS9SzTYMX6bdwZrxAESbj/TaZigo26b8rUc5IBOYv/xyACpC1ezwz6P++Cu57yeVUBfItNusGAPAyeOH8mSxQ7izjdmNT7Ox8gKq65x6trPOvpA2FcTambuHXJIRYtL7gTARqKXKbsmXuV3s2byW2YltHJv2zi6hPn7JtQAcfP2pnPfjtbNfk+2eGvyx/D8QbnzmESqIUH7u7V3zjBmXUEM7uzbm/j3RFJJuoVyqZQk1Gk1+sO1k2nRhRPOorZ7hVVEiZk2v+WFfLdXRoYshZSVZ9+NPUn/kRToqpjK9bQN7jcnMf9vbu9aZsfw67NfupmnD72HJxf3uM5mI4xOrV0KdGAYtUoUnMnTRHG1vZusP76AqvJdwxRSWtLzMhurLWDZ2Qtc65fOuxHfsUd587WkWXtJ/HFE8VYXCnxnmUNXg7DPRlnvoQV8c3/sWTY9+FI8dI+GvYV7iLVbP+QxnpHlb2ydcyPy9P6Dp2EHqxvZfAsjuI6HOVz3O2d+JQzB1Tq/tBsKOV3+L8dxXiHtDeO0oM+mg4oLuKhEer49dFUs44+RqlG3nVDLPsGK9Wq0D2OVjqGlqJxGP4fX1Xj4Q1v/q/1Gz6UE6yiZSFdlPhypjzlV/1bV88qyFHKUe794XgL/PaZ9eO0an2duusLeWUHzo3xFlJVn3wCeoP/YSHaFpzGxdz25zKvPOvbprnanL3w7rPsuJDb9n1uILhnxMzfCSLpS1p1mjOb1JF8q2bZG9h+zwMmo9zT67d0IdQDxQT2UevHHr/+/HnHPop3RIBTNaV2FiY13/Awyz+89Y0zCeXZ4Z1Bz6U077TFWZ6JlQB9Bm1uDLgzfuzZ/ew4K2P9EuFcxv/RPHPOOZ8b7/l7HOrGVXElVeIptzq46QSr7z+DLDM6rrxmErQbVnbSQ2IE7+7E4mRXdg2xbzOlaxqfxcznnXpzPWqVvkiKPdr+bWg0HFUwl1mWI/5SGPNB8dks2Rzg7GPP1Ryqw2QrGjzIxvZe2kO5i7/MqM9eJTLmY8jezb9kZO+zWSEeJG71JvhushbzkxNM/+vq3rWPzm10hgMqHzLcZax9h17tepHTOxax0xDPbXnMvMjteJRXNLvvSqWK/KMADxQB2VVsuQbAZ443f/xTlHHqVDKpjZ8iqCQm7IvCbrx53BLnM61QdfGPLxNCOA0p5mjUbjkN451ipQF9lR62n29XGDVsEGqpvasJJJTM/gf31j/U84JOOY+/mXIdaO3zSp8vduPNI0+SpW7PkB+7atp+PkEWrGTWPCtLlZ9xkNd1BBdtEc9tYSjA8tETAcjTL7yJO8WXkRZ3/6NyTbjnFGeS2Y3oz1AsEK1lWsZGbjs7S2nGTfhj8xef5KquvHZd1vV4e6HuLT4/VxUkJIeGge8u2b1zM3vonXZv0Ny2/9B5KtRzirajyIZKw3Y+F5HH5iDMHNj9FywXvYt/HPzF1xDf4+mnCoRNT5fXt4mqvqHQ95vHVoonndMz/lPDo4fMX9zF1xNcnOkyytHNtrvRkX3oT11j9y5E8/wldWQfOR3cw796o+vc6mHevVah3AW+X8fVobD9EwYeqg7d733H8yXpnUfvR3VFXVoJJRFpX3bnYTWPhOKv/0FGv/8CjVZ8xDRJixYEWf+/VnqQwDYAUbqDnZim1ZGQJ3oHg2/JQDxkTO/PwrqFgbVaZJdZZrsnHSlazYdz8Hdm6irfEANeOnM2GIbxQ0w0NGTHOBXsdqNJriIP3BeSC5Yvlk9HqaiaM8vW/QEhqDKYrmE4Ov1br/yFHmxTfReMbVmKaJGaxGstycAWZe+RHCys+4n13O/Kdvpuqhi2g8vC/runHXYye+3iIvGmigyhqaaH7j5Weplg6CZzshF57Ksb0Ecwr/eR+jjlYC35nNwufvoPXfL+szeaqrCoW/t9hvNWrxRYcWQ75/lVPabO6l7wcRPNUTeglmAMM02T/jVubHN1B23zwWvfBBNv77+3ut10UiQlx5ej08VbseVat9aCEDavv/0SxVzF15LWJ6nfOdhfpxk1lfeQkrj/6U+gdXMv/pm1n96Df63K/HipDMkuQarHFEc+fJwX+3E5bNGSdeZHfFEmrHTMTwBzGzCGaAeedfz35jIgtfu5uZv7qaGf9zFW+90ndCo594ryRXAKkYg0dsWpoG/5Cy9+Ah5iXeomny1RimccprcsZVHyOs/Iz574uZ//TNVD54EY1H9w/62JphRGW+jtVoNKcvVpoGKZSnOS+iWUSuFpFtIrJTRO7JstwvIo+5y1eLyNR8HPdUBLK0dQbw104G4OTh3YPe9+7VT+IVi7HnXN/vuvXjp7Dzon9ja9li1tbfQLlE2fncA1nXTaSqUPh6222HJlCnmonHYoO2O7rl/0hiMHPFO/pdd/7brmXVnM+yLXg26ysuZIp9kM2vZk/66u5QV9FrWZt/DJWxoXlsaw6/wCHPZCon9N8175z33sOrY29hS8UKtvrms6j1eU4ezy4iU10je+IPBGmiCrNtYI1p0umMxJgXfo1DdW9DjP69p1Nv+zfWVl7BxtorOCJjmLTzZ3161jx2PGtlmJoJThev6InsD2W5sHXLm0zjMPaMK/pd1+P1kXznj3mr/FzWNryTmPISefW/+ly/z2uyzrkmm4ZwTe557Uk8YjN+af/XZMOEqey44HvONVl3PRUSYedzPx70sTXDh8oIz9CeZo3mdCZ9DFClKppFxAR+AFwDzANuEZF5PVb7ENCslJoJfAf45lCPeyqUbVMmvds6A1RNmAFA+9HB36DNXc/RTpBx83NLJFp46U0suuc5ln7iEfYYUyg/nL2+bdwVnz0T6gDMmsmYomg8tGdQNiulOKPpJXaXLcAMVue0zYpbPs/Czz7LnI/+FEsJHVtfyLpeKqHOF+htdzQ4kXpr8B7bxqYmzkpsonHcRTmt7/UFWPmx+1l895Nw+VfxisX+DdntNpIRYmRvA93kGUtZePAe263r/kStdOCZc1VO69eNncTSv3ucc/7mMfbP/gCT1BFO9OH99GbpGglQP24qCWViNw/ea3pinfNgNGl5/+ITYPpZKzj7M79n6V8/yMaqi5nSnj0u20om8UmyV5IrQOW46cDQrknf7j/QRgVjzzw/p/UXXX6Lc03e9d/sM84geGhgNac1I4PKSPzRolmjOa2xR4eneTmwUym1WykVB34O3NBjnRuAh93px4HLRLK8X88TXYlJ3t5hDvUTZwIQbxqcN86ybOa0r2JP5bmIJ7vgOhWNoTOZGN2etU11Ipq9Qx1AsGEqAM1Hdg74mAD79+5kttpLxxmXDHjbsopK9ptnEGzamHV5KqEum6dZVZ1BFZ20tQ4utGT3a7/DL0lCC68Z8LZnzFuBpYTo/tezLjesaNbSbQAdgfFUxQfvIe/c9HssJUw9t3+vfk8qpy8H4PDm7EIuW6t1cJr3NBr1eNsHXx2m6tDzHDYmUDnpzAFvmxy3mAaaOXGk97UVTTXAyfIWpWGi8wZhsNdkMpl0rsmqc8EceJ7C8Yq5TIhsG9SxNcOMrtOs0Whc0oVyocK18iGaJwIH0j4fdOdlXUcplQRagbqeOxKRO0VkrYisbWwcfPJYrKsKRW9hEaquo5VypHnvoPa9c+OrjKEZa2b/r6+zYY05izpas9YAToU5ZBPNNZNmA9B5dHCi+fDa3wLkFFKSjaaK2YyJ9OEJ7Eqo6223r94JGTi+b+ugjqu2P0MnAaaeffmAty2vqOSgMRH/yezHztY1MkU8NImxdiOJRHzAxwUYd/xFdvrnEaisH/C2Z8xzRHPkYPaHFK+KZ02oAzjpG08ociDrsv4Id7YzL7qeQw25eWt7Epq6BIAjO3o/pMROURkmVFNPO2XQPLi3KDs2vEK9tKJmXdn/yllIjjmLBpppHWLVEU3+UaR5l3VMs0ZzWpNRcq5ADaqKKhFQKfVDpdRSpdTShoaGQe8n5dUysiTUARzyTaemLfdOZuk0r3deX08ehAcRINDgiMimQ73Fb6p0W8+2zgDjJs+mQ5WhjmwY3HH3/oGj1DNh1tmD2j5ROZkG1UQy3jumWiXCWErw+bKEDMx0hNTJXWsHfExl20xtfoXt5UsxvYOrO9ziH09lNLsYMq3sXSMBvBMW4JcEB7fnVgYunaZjB5ht7aR5wsUD3hacRi0nqcRoyx5m4ad318gUHVVzmJzYQ3IQYn/na/9HQBIE5l3d/8pZqJvkeIwjx3uL365W61muSTEMDnqnU906uGuy9c2nsJUwZfnQrsnGg4N7IB0tiIgpIm+IyJPu52luDspONydl4K/WhooOz9BoNC4qo3rG4BxaQyUfovkQcEba50nuvKzriIgHqALy3wLMJZ4SzVm8WgBtNWcxNbGbeDQy4H1XHXqB7eZM6sZOHpRtofFuTPWx3sKiq3RblhJphmmy3z+T2pZNAz5mPBZlVsfr7K05L6fmGdkwa6ZgiuJ4lphqSUaI4s+670kzFtCpAqiD6wZ8zP3b1jGOE8SmXjYomwGi5ROp6yOm2mPHsrZ1BqifvRKAE9tWDfiYe9w60TWL397Pmn1zwjOuz5hqv+rdNTKFZ9LZlEmc/dsGfr4jm/+PiPIxc9ngRHP9+Cl9xlTHXU9zz66RKVpr5jMlvotEPDrg41Yf/hM7vLOoGdPzBVduVIzt+5o8zfgbIP3J5ZvAd9xclGac3JQRJT0iQ1fP0GhOb9LHgPSW2iNJPkTzGmCW65XwATcDT/RY5wngA+70u4E/qmEMUEuJYSNLQh1A2ZzL8EuC3d+5nL1fO4tVP747p/2ebDzC7PhmTo6/cNC2NUzqO37TjrsJdVligwFax5/H7OR2Nv7Llez52kJe/132Khw92fba01RIhLJ5uSWlZaPM9ca1HNnVa5kko8T6cEIZpsn28iUsPvEkG795Bdu/vowdb+TW7OXQa/8LwPSVNw7KZgC7chLVdNDZ3tJrmdeOZi3dBnDGzAUcpZ7JG7/H1n9cycZ/viRrrG42ZMczNFLDrAUrB213R2Bc1phqZdsEJQZZyikCnHHOVVhK4NcfZffXF7PmO+/NSYgq22bSiT+zPXg2ZcHs101/eLw+Go06PO29q44kuhrgZN93YPZllEmcXf/PuSZfffCzOR3zxLFDzI5vpXl8bomi2WiY5OQ5xE7sHfQ+Sh0RmQS8HXjA/SzApTg5KODkpNw48palZcsr7WnWaE5nMhODk1nnDzdDFs1ujPIngKdxvBS/UEq9JSJfE5FUAO2PgDoR2Qn8HdCrLF0+SbhtnT19eLXmX3Aju42pzI1toszuZMX+H7L5FPVlU+z5008wRVG/rP/W0n1RVVNPhyqDtt4xzXaqQ12W8AyAGVd+lFbKmd/5GhV2K2eu/jwnjvYfvxp/4zE6VYA5bxvc62uAqvFTAQif6O1FdKpQ9B0+4T3v4xjYTA9vYFzyIN7f/nX/8UhKMWH/E2z3zGbMpOmDttvrlhg8cXhv72V2DMvM/h0xTJO9s+9grGqiIXGIudEN7H3001nXTSfa3sz8jlfYVX8xhjn4yytWPpF6q3d965hbEztbZRiAsROn80bVZUy39lButbKs9WnWPf6v/R5v9/oXmKiOEZ81eO84QItnLMFob89+KsnVzFLLG+Csi97JXmMyc2MbKbM7Wbnvfraufrrf4+370yMYomhY/p5B21xVO4aw8kPb4KuljAK+C3yGbpVaB7S44ztkz1UZdtJvhrq5iUZzepOuGzKmS0k0AyilfqeUmq2UmqGU+kd33peVUk+401Gl1HuUUjOVUsuVUoOvLZUDXW2d+xCfHq+X8Z9+mf23vkTVZzfRQgXhV7N7bSPNRzmx83WUUlRtfYwdMpUZC982JPtajGq8kSwNP9zSbYFgdk/zmInT4K43OPbh1+m8+dcEJcbOP2SvL9t+aDsth3bQ0d7CmSefY33VpQTKKwdtc3XDJACSbb0FkWlFiffhsQU467x30Hzn68T+ej3blnyJqfYBtr72TNZ1m3a9TmfzUfZsfJmp1j6OTHvXoG0GCFQ7DT86mnoLIp+KYZt9273ifV/iwG0vUXb3Jl4f+y4Wtj5Pa1Pv319ZSY5teZlEpJ23nvmxExe89PYh2U15A0GJEe5oyZgdC7uxwX2IZoCzP/kYe29+nvov7mCLdx7jdv48q+BIRto5tvkllJWk+eUfE1Z+pl9825DMjvhrqUj2rpTSFa/fx9sfj9fH2E+/wv5bX6Ly7o20UU7Hy9lrPkdOHuHErnUopajZ/gu2GdOZftbyQdsshkGLUY0nMrTOlaWKiFwHHFdKZS8z0//2eUngzoqunqHRaFyU6hbKKt3TPIJvoUZlG+1TJdSlKCuvYPKsBQC8WXspZzU9TSwazmi5vG/zamp+8RfU08khxjCT46w98x6GWi2v3VNDINY7pFu5ormvts8AVXVjqapzOsvtNGdQvef3wFcy1tnw9EPMf+VvERSNUss4Yoy5cGjhiKHKGmLKCx3Hey07VRWKFGMmOuEdgctuJbLuK7S//ktYmVlGbs2P/pZlB35MRPmowk9E/Cy+Zmh2l9c5LbGjLb2TAX0qhtVHbHCKM2Y635G6lbfh+80v2PDnX7Lsxk90LbeTSd769rUsCK+mWYWYS5w9nmksWn7xkOw2Q2MAaDl+mGBFddf8aKSDKvpOcgWn9NzUuU4CZtusd3Lm5m+wd9s6pp65tGudtqZjtP3gEibZhzhKHWerk6yvvYZzansVtRkQyUAd1R29kz6TqXKKp7wmQ13X5Kaaiznz5B+Jx6L4/N2hKHs3raLu8b+gnjCHGMN0jvP6/M8P/Zo0a/BnuSZPE84DrheRa4EAUAl8D6gWEY/rbc6WqwI4CdzADwGWLl2aV2WrSG9uomOaNZrTGTu95Fyap3kkH6iLqnpGvuhq63wK8ZmOb961BCXGjjXPZswP//pvsTBZP/FWTpRNY83kD3POu3OLfz4VEV8d5Vm8cSQjRJUXw+y/gxxA44RLmJXYmuH97GxvYfKrX+KQOYk3J7yX42UzWH/2N5i1dOAl29IRw6BZqjGzeMhNO9ZnFYqeBCuq2B5czMSmlzPm73nrNc7Z/yBbAmezpeEaDpbP4+A1D1JVO/gqKgBV9Y5oTrT29hD7VSxrq/VszFh4Pk1UY+x6LmP+uqf+kwXh1WyouZI91SvZXrmS4G0/HXTCZZdtroe8rUe791Sr9b4S6noyZeVfAHD09d9mzN/y888zzjrCG+Nv5mjFPN6ofwfzP/jvQ7IZwC4fQyWd3bXSXaxE6prMLV7ac+a1VEiEHWv/kDE/9ptPkcDTfU1OuZMl7+w/bKY/wr5aKhLNQ95PKaKU+pxSapJSaipOTsoflVK3As/j5KCAk5Pym5E3Lt2zlCma204c7arKotFoRhfKtmg6nJmcbdtpD9EFqtk8Kj3NdtzxavkC2cMcejJ7xbXE/+yhY9Pv4QKnL8vut17jzMRbrJr1aVbc+uW82pcI1FHVub7XfCPhtHXOTcZBzaJrMQ88wI5VT7D07X8FwFvP/jfLaePIlf/F2SsGVwWhL9o8NQRivUWz14oSN3N7QAGITrmUSVvv5cDOjV2e3GPP388EPEz4q8e6POn5oLpuHEllQEdv0Ryg7yoUPTFMk93VK5jd8meSiTger5P4WLHxEfYak1l412NDFsrplNeOByDSw0OeqkJhZqnlnY1xZ8xkjzGFigMvdM0Ld7Yx//hTvFF9Bcs+8p95sTeFUeF4yJsbDzPujJld85X79sdflptonrXi7cRf/iRtm34H5zlx1jvffJU5iS2smvMZVtzyhbzaHQ/UUxl+K6/7HAV8Fvi5iHwDeAMnN2VESXcgKTvTm1T5/Tns8Mxh1hdfG2GrNBrNcPPaf3+Jc/f8gMO3v8qE1Ew7+0O09jQPke4qFLkJi2BFFdsCCxnX+FLXvKMvPkhCmcy98sP5t698DDW096qlK1aUeB9tnbMxa/FFNBNCbe/2kAe3/IKDMp4zlw+u0cOpCHtrCWbxxnlUjGQfzTayMWn5jQAcWuMUWYlGwsw98TRvVZ6fV8EMjthtkUqMcKbYT8RjeMXK2ta5z33NvpIqOtnpVv/YvXU9c5NbOTbjXXkVzACV9U7OVbyHhzwRS5Vuy/0h5diY85kd3UhHm/O32/jcz6iQCKEVd+TH2DR8Vc7fr70pU+x3t1rPze6Kyhq2BxYw7lj3NXn8zw8SVybzhuGaVMEGqlVbwQrmFwtKqReUUte507vdHJSZbk5K7yLtw29Q2mTvv82spO7kqNGMRkKHXgSg+Ui3tzm9Yka6p7mkqmcUIyqR8mrl5mkG6Jx8CVPtAxzZt414LMbsY0+xuWIF1Q0T+t94gEhZDQDtLZkxlEYySkxyF5+mx8OuynOZ0foqtmWxf9dmzkq8yeGpN+ZdxAEkfFWUW+295vvsWJ8d6rIxcfqZHJAJBPf9EYA3//gY1XQQWDq0JLS+6DBCeOKtGfOip+hQ1xczV1yPpYTmDU6DmyMvPIClhFmXfTB/xrpU1jhhKXY4M4ynKza4j4S6bIQWXItPLHascuwue+vnHJUxzDl38CUI+8LvdkCMtmU+pKRarfeV5JqNjjMuZpq9l6MHdhKLRZjb+Hs2h86jMs8PVgAEazBF0T7Idu+a4SHdm6Sbm2g0pxHuA3O6lkkPz1BWYRIBR6lodqtQ5PgqGGDCMqc63v7VT7DxT49TTyuy5P3DYp+nvBaAjpbMTHMnoW6ATbdmXk4tbex682UO/vG/sJUw7bL8e+IALH81Fap3DKFPxbAGIJoBDjWcz5zIBiKd7fg3/pTj1DH3vBvzZGkmEbMSf6ItY96p2jr3RVVtAzt8Z9Jw9EWSiTizjz7JW+XnUjtucI1uTkUgWEFUeZFIS8Z8K55Kcs3d0zx72eV0qDLiW5/m8N5tLIy/wf7Jf4EYucXOD4RglSOa4x2ZD4Sqq9V67qJ5/DlOicT9q59g0/O/pJY2zHOG55o0g8412dlyelbQKAl0nWaN5rRBUtUv05K80ytm2Do8I48kIiSUideXe+vlM2Yu5LCMJbD7aTxvPMIJqpl34dDKnfWFt8K5QYdbM71xph3ts0NdX8xYeQO2Ek6s+SXTDz3BprJzupo15BsVqKZCIiR6tNL2k3tCXYry+dfglwRv/vbfOCuyll0Tr8fwDE+IfcxbScDKFM2p2OBsbZ1PRcvES5hp7eL1X32bBpqxFg+PiANolwqMWEvGvGR0YAl1AF5fgB0V5zDt5Evsf+b72EqYPEwPVhVVjoc82dEjjCcRITaAJFeAyXOWcJQGfLuexrv+EY5Ty7wL/iKf5naRuiY7e1yT+7au4+DOgXfh1OSH9JuhbeuScxrN6UJKKot0y9S+mpuUXJ3mYkMSEWIDiA0G5xXA/knvYFF0DYsiq9g++aauZK984690ynpF2zO9cV6r7w51fVHTMIGNwWWsPPwI4ziBvezOvNnZEyOYCivJFBYBFcs5oS7FnHOv4Rh1nLv1myTxMOXKj+fNzp4kvFWUW5ke8rjbAMfMsQpFiskX3U5CmZy75Z85JGOZf9Hgm2r0R6cRwtsjrKQ7yXVgYp9FtzCGk6w4/Ajry89j3OTZ+TIzg4oax9Oswpmi2UiG++wa2RdiGOyddB2LI6tYGF3Dzik3Y3q8ebM1nUDIvSZ7hJVEHv84Lb/862E5piYH+qjLqtFoRjeisnia0942qbQ22trTPESMZJhoP3WDs7HgvV9iXcWFrA1dztk35bdiRjpBVzQnOjLjJ712lEQfHepORcN7vsdbvgW8MvEvWXTJ8Ik40xXN6WElVjJJQBIo78BEnC9Qxokr7mO7ZzZvnvMNJkwZHhEHYPmrCKnMWOy4W6rKzLHCSooJ0+byxoIvss0zh/Zr/x2ff+Dfs1yJmCF8PcJKbDcR0B8MDWhfiy9/H6vG3sJG/9lMuOV7ebOxJ4GyciLKB9GWjPmSCBM9RdfIvjjrvV/hjfILWFt5OUtuym/FjHTK3Gsy3uOa9NkREgOoDKPJM2k3QystcVp3B9RoRjtuTHOaaM5M/itMIuCoLDlnJCNEB5BQl6I8VM2Sv/9t/ysOkYpq5xW21Zl5g/bbEVoH6LEFmDB9HhM+/1L/Kw4Rr+uNC7d1e8gj4XYqGHiYA8D8866D867Ll3l9ospqKJeoUzHDDdmJRxwRfapmG32x/N1/h9MNfniJequoimbWaVaupzkwQNEshsGKj92fN9tORbtUYEQzPc2mFRlQkmuKisoazr77yXyZ1iflbuJlssc16VPRPluta4afdAdS+g3TspKj8+al0WgAkFRjo4xBIM27nF6bWScCDg0zGSY+iBv0SBGqdl5h2z2SvJyEuuK9QftDTtxnLE00R1NtnX0DF58jhVFWDUBbc5qH3PXY+soGJj5HkqS3kqCdGVaSSnItG6BoHkk6jRDeHh5yMxkhZhTvdzt1TapwS8b8gIpiD+JBVpMn0sIzLCvRNd2zXKdGoxmd2BkVdNLCtTKqZ+jwjCHhsSLEi/gG7fX56VBlSCTTGxcgOuAwh5Gk3K2MkB5WEnNFszGAEmgjjVneO8krVbrNN4BqDiONFaimskdYicQ7iSov5jAlTeYDJ6wkMxbba0UGnOQ6kvgDQcLKD5FMT3NAxbCL+Joc7aS30U6/ScbjI18yWqPRjBypmGaV3i473dOs0pMCR66+/qgUzV47RmKAJdBGmg6pwIxlCouyIr9Bp0Rz+ivseMTxKJpFLJqzVSspBU+zClQTlBjxWLRrniQjRIr4LQo41UrKkpli3zPIeP2RpEPKMdKuSWXbBIgV9YPsqCc9pjmZ5mmOR7OtrdFoRgmp8IyMOOY+EoO1p3mIeO0IySK/QXeaIbxp3rhkIo5PklDEN+hUww2VFlYSG2RC3UiSqowQa+8W+yqWig0uXrtT1UrSw0qMRJhYzo3WC0PCV025nSmafXa0+K9JozKjWkk8HsUjNuIt3gfCUU+6ZyktPCOhRbNGM6pJiebMhL++wjN0TPOQ8NvFn7wTNUMZDTfCnY7IGExC3Ujh8fqcsJK0JK+kK5q9RSyag1WpaiXdsdi22ySkrLyyIDblQqpaSWdrt92mFSY2wLKEI43tryLUowmOX0UH1DWyEEQ8IXzJ7msy6l6TFPE1OfpJq9OcdpNMxnVMs0YzukmJ5u6H5cxQjbSQjBGs4T46RXMJJO/EvFWUpTXciIVTorm4vVrtPcJKUrHB3iKODa6oHgNAsrNb7Eu8E1vJgLpGjjS+CkfsR1q7Pc1mMlLUSa4Aqqx3WIlfRbGK+C0KQMxTSTAtrCTiXpPFHK8/2smIYUwXzQkd06zRjGYMN+QivR6z3ZfXGS2ah0RARYs6Nhgg6aukPK0yQtS9QRdzbDBA2MxsuJGMOb9DMccGh6od8anSEy8TYaL4MvraFxtd1UrSPOSDreU9khhlvcNKylQU5SnuazLhqyKYFlZSCkmuo52MZJ/0knNaNGs0o5xsnubsolknAg4BZduUlUDyjlMZoVs0x7u8WsXrsQWIeCrxp73C7m62Ubx2e7w+2lUZktZwQ5Lhok+oC7r1vONpsdjFXoUCwEy1pHab4DgJdfGijteH3mElXbW8i/yaHNVkxDDqRECN5nRBcB6Y7XRPc9oYkDE26ETAwVMyyTuBKvySIBpxRGeiKza4uO2Oe0KUpbWkTonmQBF7mgE6pQIz1i32zUR4UM02RpLySkd8Wmm1g30qilXkoUc+NxY74or9aKQTQxSqyEOPVKAqI6wkdU0OpgFOKSEiZ4jI8yKyWUTeEpG/cefXisizIrLD/b9mpG1TfYhmW3uaNZpRTaoPYKanOW3a7iO+eZgZdaK5VJJ3Uq+wO5qdMmiJaPEn1IETVpLRcMNNqAuUF7fdnWYFnrTES9OKEB9Eq/WRpKvhRlq1EifJtbi/211hJa5ojnQ6590o9mvSFfvtLZnXpKeI4/XzRBL4tFJqHrAC+GsRmQfcA/xBKTUL+IP7eWRJj2HsI6bZTibZ+K1r2bH22RE1TaPR5JeW44fYcu+FNB3d3+Vppo+KGRljw8g5mocmmnP1RIiIJSLr3Z8nhnLM/iiV5B2zvBqATre7XjJW/Al1ALavkgrV2T0j0YmlBL+/uL2fUbMCf1qSl9MAp7g9zV6fn7DyI2mJlwGKP16/zPWQJ9zEy66ukcV+TbqdI1Nt4i1XNPuK/EF2qCiljiil1rnT7cAWYCJwA/Cwu9rDwI0jb1z2knNWsrt6xsnjh1jQ8TK1T35oRE3TaDT5ZctT93FmdAPbf/ttRPWu00x6eEZ6mbkSCs/I1RMRUUotdn+uH+IxT0mpJO/43C51ka4btNtso4jbI0OWygiJCBECRZ1QBxD3ZDbc8FhREkXcNTJFz2olARVDFXl4RqoJjhV2RHMqNrjYk1y7m+C412TMeYtSzPH6+UZEpgJnA6uBsUqpI+6io8DYkbYn8xVsmmcpPTzDcF7k+pUuQ6fRlDSJiPO/N9BVpznd02z3kQiY3vRkuBmq0im8J6IHpZK8469wnPKxDkdYWF3NNopbNBuuNy71CttIhokWeZgDOGElZWlhJaVQhQIgbFTgiTvhDVYySUASRR8bXOFWK7HdsJJ4icQG97wm7XgqybW4r8l8ISIVwP8An1JKtaUvU06mTVZ3jojcKSJrRWRtY2NjtlUGj539dayd7BbNSbeldgAd56zRlDKSdESzeMsgS3OTvsYDVUJ1mnP1RATcQXWViNzY187yMfiWSvJOmdtwI9WSWpXIDTrVcCPVktpIRogWeUIdgOXLrIzgtyNFn1AHEDFDXdVKIuHib4AD4PeXOWElUcdD3v0gW9zf7UCl2wSnxzVZ7A+y+UBEvDiC+adKqV+5s4+JyHh3+XjgeLZtlVI/VEotVUotbWhoyK9hfcQzpicCpkSzR0auK5hGo8k/knTeYIs3iJHF05wpoIvU0ywiz4nIpiw/N6SvdypPBDBFKbUUeB/wXRGZkW2lfAy+Xck7RS6ay90bdNKtjJC6QZcV+atgb7krmtscYWEmw0XfbAOcygjlEiWZcF7h+lXxd40EiHtD+N1qJala3lLkMc0AHVKO4YaVdDfAKe5rsiJ1TXa2AKBSXSNHuWgWEQF+BGxRSn07bdETwAfc6Q8Avxlp2zJuhumeZqs7FCMRj4ykSRqNZpgwuzzN3W+v+/I0p48NI1lyztPfCkqpy/taJiLHRGS8UupIP56IQ+7/u0XkBZyYuV2DM/nUdCXvFHkJtK7KCG7cJ4kwcWXi8xV3qEP3K2xHNDsJdcUvPqWsCoCOliaqG8YTKIFa3gAJbyXl4Z1Ad9fIYo/XBwgb5XhTYSVd12RxPxBW9GiCI/FOospLwNPvMFnqnAe8H9goIuvdeZ8H7gV+ISIfAvYB7x1xy/ooOUdaImAi2olGoyl9DMt9g2QlIZun2erL0zwCxrkM9W6Q8kTcSx+eCLeiRlgpFRORepwB+l+GeNw+sUqg2QaAzx8grPzgvsI2EmGiEsBXYLv6o8z1xsXdygheK0rCLH5PcyqspKPVFc0l0DUSwPJVUu6GlaSSXIs9oQ6csBKvm3iZquVd7A+ygWAFMeVFudekJCNEJEDxf7uHhlLqJbrLovbkspG0pRfpGfIZMc1pojmiRbNGMxowbSc8Q1nxrjbamXHMfVTPKKE6zfcCV4jIDuBy9zMislREHnDXORNYKyIbgOeBe5VSm4d43D7p7lBX3DdocF5hpxpuSCJMlOL2MkN3WInlimafHSFZAmEOqbCSSHsTiXgMn1hF36EOQAWqCUkEK5nsrkJRAiXQ4p4QAVc0dye5Fr/d7VLeVa3ESISJjXrJXNxI+s0wfTo9PCPcikajKX08rqdZJeMYONe76mMMSB8bVJ+RwflnSJ5mpVQTWTwRSqm1wIfd6VeABUM5zoBsKqHknU6jAtNtuGFakaLvUAdQUeOElaQqIzgd6opffPrccmLR9pOEO9upAqTIq1BAWlhJa1OXR63YG+AAxL2VNET3Amnx+uWVBbQoNzrTqpWYVphYkdfyHu30mTmf6I5jjnecGEGLNBrNcOGxXdFsJbqr4fRZMSN7+bnhpriL6w6CUkreiZoV+FxvnJmMECuB2OBAWTkx5e0KKwmoKHYJVKFINdyId7R0xQaXgmjuDis5STLq2F3sDXDAaYKTCish4XaNLPJEQICoUYE30X1NFnsDnFGP6sPTHO32LtudTV3TqUoaGo2m9PAqt/+DFSegnGtZYt39FTIEtCpMTPOoE80S7yCs/JglkLwT81R2vcL2Wp3Eirw9cor0V9hBFcH2Fr+IC7ol/qzwSSIdju1msPg9n55UWEnbCSxXNAcqqgtoUW7YgWpCKoxtWUi8g3ZVVvQNcACinhAByznPPitMzCx+oT+akYzXsd3xjEa8u4y0Cp/smu5oax4ZwzQaTd7x2+4bpHgYnzgC2Uhr7iVpycAZ4Rkl1BGw6DBirXRIadzokt4QQbfhRsDqIO4pfu84dL/CTsRjBCWGClQV2qR+Cbmi2Q63EGl3PFO+YNau70WFPy2sxHLLE5a7XvNiRsqqMETR0d6CGWujU4r/wQqcaiVlVuldk6OWtGQfsbq9yJ54t/fJjHYL5U4tmjWakiWonLeSZqz7OvYkuh+QJS2XIX1s0OEZQ8CTaCdslMYN2vJXUaGcwT9odZD0lsYNOmKE8CVa6Wh1PDxSAqK5LBgirkxUpIV4u5vEWAIe21RYSaz9ZFcceYX7AFDMGKmwkuZGPIk2wkZpPMhmXJN26VyTo4l4LNo1LWmvY80077Iv2T3tibV0TUfau73OGo2mdFC2TYUrmtOvaV+aaE4fA9LHhuQIlp0cdaLZl2wnYpaGaLbL6qgkTCIeo5xOLF/xhwsARH3VlCVb6Wx1PLZmsLqwBuWAGAatUokn2kTcrY1dFip+j22oZhwAyY5GJNpKWPnx+Ys/ztYXcpoTdbYcw5fsIFoiHlu7rJZK1YmVTFKhOrH9pXFNjiaaju7rmjbj3a9mvWnTqbA2AH+ipWs61tE9rdFoSodopBOvOB7j9Gvan+zu5OtNdI8B6WNDZ9Oh4TfQZdSJZn+yg7inNESzUe5Uomg5cYQKFSmJMAeAuK+GkNXa5dVJlXMrdtqNKjyxZiy341uqfF4xU1nndKZXnU0Y8TY6pTTi3gNVjmgOtxx3wxxK45qUYD2GKJqPH6Jcoih/aVyTo4nWY/u7pgOx7soYZcnum2QqrA0gmOZ1TtWP12g0pUVna/dbovRrOmh3PyAH0kRz+tiQaDk4zNZ1M+pEc5ndQcJbGt4hj+uNO3FgG4aokghzALDKaqlWbURd0eyrKA3RHPZWU5Zo6Q5zqC5+0ezzB2hTQQg34YmXTuhRueshT7Qdd6/J0vA0eyqdB9nGA1uB7pJ/mpGj80T3DTCU6K6M0ZA80jXdVZkFCNndN9KkG/ev0WhKi8727gfeCrtbNJer7tCLMWljQEXa2EBb9/zhZtSJ5nJVOmEO/irnBt1+eDsAZoncoCVYh0+SRJoOAFAWKg3RHPNWU55sgWgbcWXiD5SG17bNqMQTa8ZbQqFHlXWpsJITTphDqVyToTFA6V2To4lE056u6fGWczNsJkQNjscpqrxU0X0jrVFpovn49hGyUqPR5JOT+zZ1Tadf05WuaI4pLzU4YrqZEBOsbqHsaz8wQlaOMtFsW04geanEIaa8cVbjTgA85dUFtCZ3jArHQ56yuxRigwGSgVpCqq2rwkoplEAD6DSr8MWbCSTbiZWKaK6qJakMVEcj5SpcMmEOwRonHKbrmiyBeP3RRvDQKxyQCRynFp8kiSovJ03HwRBXJsfNMV3rNhPCFKfc1F5jMlUn1hXEZo1GMzRiu18hrjwclHF4xKmM0UIFhnt9HzYndK173DOxqyTdJv9ipnWux7ZGpoJGaaiGHGlpOoJXLIzQ2EKbkhOVdeMBCDY7XcXLaiYW0pyc8Vc55zdld82Y0rDbDjZQTQdl4cO0GqUh9AEivloqEk1UWSeJBxoKbU5OiGHQLFUEW7ZhikIqS+OarOpxTZbXlcZ3e7RweM9W5kbWcWjMRbR6nPCpRqOh62GxWapp8Tl/o7gy2VO+uGvbI2MvZk5sEwd3buq1X41GU7zEomGmH/092wILibqVlo7SwFHPGYAjnlsCkwCIKB/tQWe+rYToglupoY31z/1sRGwdVaK5+ZjjovdVT+hnzeKgpn48MeVlSsS5QVeNPaPAFuVG5dgpAEyJbKaZUMmEOZg1zkU3ObqFdl99ga3JnVhwPA3JY9SqFpLlpSE+AZo9DV3fbV91aYjP2rGTiCuz5K7J0cCet1YT+cnNJPEw7R130+l1RPOx0Hyi3moA2jy1hCtnAHDcaCBeO6dr+5nv+Hui+Ik+ejsnjo7c61qNRjN4opEwb/37bYzhJHL+p7DEaUx3PDCVjqBz3zjinUy8zHEYtUsFyfFnA2CIYvFVd7DXmMy0Vz/Hhj/+HGXb2Q+UJ0aVaO5odAbKYP2kAluSG4Zp0mjUU42T1FJbIjfouokzAaimg2aj+JPpUgQbpgKO3dHAmFOvXETYlZMISQSP2BiV4wttTs60B8Z3fbfLS+iaPOFek7YSaseUxjU5XIjI1SKyTUR2isg9+d7/7k2r2fTPF3HgH85k2i+vpME6xq5L72fspBmI2ybXmnQusbp5AHT4xmCMPRMAU1lUzL24a18NE6aw48LvMTF5AM/9K1j1wN+xd8vaYb+JajSagXPs0G5W//yfOPEvS1jS9gdenvIJzrrgBgK2E8PcOf5ckkHHSdRePhVj8rkA2JjUz7uoaz8erw/zfY/SalSz6MWP0Pi1Gbx572Uk4rHeB80Dxd9regDEmp2s66oxUwpsSe60+MYyKXaEZiqpKRGPbWV1He2qjJBE6PCVRrgAQPW46V3TVvm4AloyMLx1k2G3M+0rkRAegET5BFzNTFUJic9m7xgmxI9xUqqo9/kLbU7BEBET+AFwBXAQWCMiTyilNufrGIZpYtpxTgSnc2j8TZx5zcdY4JZZNM//JKvX/y9LbvwkjYf3cvSh/yF01ecZO+VMtm79BS1TrmbJ0is4+Nx4Dky5kZXA4stuZs+4abQ9+SWWH/gxxmM/opkQBwJzCYemQu10Ag3TCFSPobJ2PJX14yivqC6Z/AaNphRQShEJd9DRfJy2piO0nzhC/MQeaNmLt3Uf48PbGE8jY4Ed5kzevOBHnHfxuwFoPu9LVP75bia97b20HNnL/uMvMPaqv6dm/FQOrP83Tl7wFRYtOp9Vm/4O8ZZzLnDGzLOI3r2aNU8/iOx+Hl+8Fe8wjd2jSjRbrU42Zal4bAE6yydDbD0nzXpKowaFwwlzDCF7H5Hy0hFxDZO6RbNZN7VwhgyQyvGz06ZnFtCSgSF10+GYM107pjQ8zeBek/GNNHsaKJ0gnmFhObBTKbUbQER+DtwA5E00Tz1zKXzh1azLzjr/ejj/egAmTJ0DX93VtWxu2jaTvrKV9G/XtPnnwvxnaDy8lz2v/AoOrqGufQszjm+kvDEK2zKPE1Ne2qWcqASIGkHiRhkJs4ykGSTpCaIMLz6SxLyVKNOPGF7weMH0IaYHw/QiHh9i+sD0gOEF04sYXsQwEMPAMDzutOl8Nj0YPZY580yM1DqGAYaJiAmGCSKIGM7/gCGCCAigTA/iKUNEQCRtmQECYgiCICIYhiAYiODu01nPWQcMMbrWx92fxhGCSoFKTYP7WaFsBcp217Gczyjns22lrZO+XtoypVDKRmyV9tly1+9ermyF9FiuFFi2jbItbNvGshW2O63sJMqy3M8WykqClUBZCXeZ879YzjS2u9xOInYSOxl31ksmsN11DCuCmYzgtcJ4rAheO4rPiuCzI/hUlID7ExSLIJD+TjemvBw1x3I0NJ99Y5cw/pzrmDl3ifO9dVl82c1w2c3UAGfMWgQX3tC1rPIrW0ipuxW3fiXj7xMoK2fZjZ8APjEsf/8Uo0o0n3v7P9HUdBd1JdAxLYV39mWw6glOVsxiRqGNGQBNFbOY1rbPsb9E8AeCxJUHnySZtuKG/jcoEmYsPA+ecKanz19eWGMGwORzb4TN/+i8lSghj60581JY8xTNFbMKbUqhmQikBwcfBM4tkC0DpmHCVBre/Xddn5Vtc6LxMCcP7SLScoxY63GsjkYk3IgZb8NMhDGTYbxWmGCyDV/8GAEVwafiRPFRSQdelezK2j8dsZUjbhxJmJoW1CD2NVApPpCjDNSigdgiPdZPVXcYzdhKSGJiienkDeAnZgSISYCYUUanWUfSV4byBlHeIPjKMQIhCNbjqainsn4cNeNnUjtuMlNMk9KJBejNqBLNhsdDXQl5mQEWXHoLrx7Zwuxr7yq0KQNi2m338cqT97HskpsKbcqAOPCu39K47VVWTJhaaFNyxvR4eOP8/0QEFpfQa+TxU2azat6XqD/zPEqjtYnDgsvfz6vHdjDnur8ptCklgYjcCdwJMHny5AJb0zdiGNSPnUT92CG+9VAKy0oSj8WIJ2Ik4zESiThWPIZtJbCTCZQVR1nJLg+fbVuOV9GysewkyvUMKtvuXuZ6Bm3bRpQNKY+lskDZToy3cgSaotvjiQJRCUwrhuPdpMs7SWrt1HZKda+TNh9ld8vMtG1FdceDdwvR1NFBVLpgVJxKfuYqLU+9Xvf+8ylVlaLLg+8cRboOl/EbSfcySVuu3DcACtN1zDseeiVG17Tr8nf34053zU8tS1vXMBDEeTjpWj+1b9OddJaJYWCI4bxFENP53zCR1JsL0+N8Nr3u2xEfYnoxPO6bEtOD4fFimF5Mj9dZ7vHg9/nx+/x4vR58rje4LI/nvRQRpYrzKWnp0qVq7dq1hTZDo9FoBoWIvK6UWlpoOwaLiKwEvqqUusr9/DkApdQ/97WNHrc1Gk2pksuYXTpuK41Go9GMJGuAWSIyTUR8wM10BQppNBrN6ceoCs/QaDQaTX5QSiVF5BPA04AJ/Fgp9VaBzdJoNJqCoUWzRqPRaLKilPod8LtC26HRaDTFQNHGNItII7BvEJvWAyfybM5IoO0eWUrR7lK0GU5fu6copUqnkHkeOA3H7eFEn5Pe6HPSG31OsjOY89LvmF20onmwiMjaUky+0XaPLKVodynaDNpuTf/oc90bfU56o89Jb/Q5yc5wnRedCKjRaDQajUaj0fSDFs0ajUaj0Wg0Gk0/jEbR/MNCGzBItN0jSynaXYo2g7Zb0z/6XPdGn5Pe6HPSG31OsjMs52XUxTRrNBqNRqPRaDT5ZjR6mjUajUaj0Wg0mrxS9KJZRK4WkW0islNE7smy3C8ij7nLV4vI1LRln3PnbxORq3LdZzHaLSJniMjzIrJZRN4Skb8pdpvTlpki8oaIPJlvm4fLbhGpFpHHRWSriGxxWwqXgt1/634/NonIoyISKBa7RaTO/Q53iMj3e2xzjohsdLe5T0SkmG0WkaCIPOV+P94SkXvzae/pwkiMxYVERH4sIsdFZFPavH91vzdvisivRaQ6bdmA7lnidGtc7c5/TJzOjUVNf/cyEfm0iCgRqXc/izsm7HTP2ZK0dT8gIjvcnw+kzR/W8STfiEhARF4TkQ3uOfkHd76IyD+KyHb3PvTJtPmj+pykIz00hIhcJiLrRGS9iLwkIjPd+cOvB5VSRfuD04VqFzAd8AEbgHk91vk4cL87fTPwmDs9z13fD0xz92Pmss8itXs8sMRdJwRsz6fdw2Fz2nZ/B/wMeLIUviPusoeBD7vTPqC62O0GJgJ7gDJ3vV8AdxSR3eXA+cBHge/32OY1YAUgwO+Ba4rZZiAIXJL2/fhzPm0+HX5y+buU+g9wIbAE2JQ270rA405/E/imOz3ge5Z7jd/sTt8PfKzQv3MO56TPexlwBk4Hyn1AvTvvWndMEHeMWO3OrwV2u//XuNM17rJhG0+G6ZwIUOFOe4HVrv1/CTwCGO6yMafLOelxfjI0hPudOdOd/jjwUNr0sOrBYvc0Lwd2KqV2K6XiwM+BG3qscwOOwAF4HLjMfYK6Afi5UiqmlNoD7HT3l8s+i85updQRpdQ6AKVUO7AFRyQVrc0AIjIJeDvwQB5tHVa7RaQK52b3IwClVFwp1VLsdrvreYAyEfHgCLvDxWK3UqpTKfUSEE1fWUTGA5VKqVXKGeEeAW4sZpuVUmGl1PPudBxYB0zKo82nAyMxFhcUpdSLwMke855RSiXdj6vo/t4M6J7ljgWX4nxfwfn+3jicv08+6Ode9h3gM0B6stUNwCPKYRVQ7Y4ZVwHPKqVOKqWagWeBq0dgPMk77u/W4X70uj8K+BjwNaWU7a533F1n1J+TFH1oCAVUutNVdN/nhl0PFrtonggcSPt8kN5CsWsddyBqBepOsW0u+xwqw2F3F+4rh7NxnkaL3ebv4gyCdh5tzWpTlmP3WidHu6cBjcCD7iuhB0SkvNjtVkodAr4F7AeOAK1KqWeKyO5T7fNgP/scCsNhcxfu6/V3AH8YqqGnGSMxFhc7H8Tx+sHA71l1QEuaAC+585d+LxORG4BDSqkNPVYb6HkZ7vFkWHBDENYDx3GE72pgBnCTiKwVkd+LyCx39dPinLh8l94a4sPA70TkIPB+IBUeN+x6sNhFs6YHIlIB/A/wKaVUW6HtORUich1wXCn1eqFtGSAenFeq/6GUOhvoBIo+3lJEanCekqcBE4ByEbmtsFaNblyP/qPAfUqp3YW2R1M6iMgXgCTw00LbUgjS72U45+HzwJcLaVMhUUpZSqnFOG8elovIWTjhBFHldLb7L+DHBTRxxDmFhvhb4Fql1CTgQeDbI2VTsYvmQzgxTikmufOyruPewKqAplNsm8s+h8pw2I2IeHEGmZ8qpX5VAjafB1wvIntxXntcKiI/KQG7DwIH3Sd9cF7zLCG/DIfdlwN7lFKNSqkE8CvgbUVk96n2mR7akO9rcjhsTvFDYIdS6rtDN/O0YyTG4qJERO4ArgNudV+Xw8DvWU04r+U9PeYXPVnuZTNwHvY3uPeLScA6ERnHwM/LcI8nw4obCvg8cDXOvSh1r/81sNCdPl3OSTYN8RSwKO3+/Bjd97nh14OnCngu9A+Ox283zsWUCtKe32OdvyYz8PsX7vR8MgO/d+MEffe7zyK1W3DikL5bKue6x7YXMzyJgMNiN05i1xx3+qvAvxa73cC5wFs4scyCE9t1V7HYnbb8DvpPBLy2BGz+Bs6N38j39/p0+Mnl7zIafoCpZCYCXg1sBhp6rDfgexbwSzITAT9e6N83h/PR770M2Et3IuDbyUx6e82dX4uT+Fzj/uwBat1lwzaeDNM5acBNNgfKcO4/1+GEHXzQnX8xsOZ0OSdZztHFwJPu9XACmO3O/xDwP+70sOvBgp+IHE7UtTiZkruAL7jzvgZc704H3IFjp/ulmJ627Rfc7baRlimabZ/FbjdOBr8C3gTWuz95/dIPx7nu+YUvhXPtzl8MrHXP9//iZiCXgN3/AGwFNgH/DfiLzO69OIlRHThelFTW/FLX5l3A93EbLxWrzTgeCYWTxLTe/fnwcHy/R/NPtr/LaPrBCd05AiTc786H3O/YgbTvzf1p6w/onoWT9f+au89fDsf1PgznpN97GZmiWYAfuL/7RmBp2nofdH/3ncBfps0f1vFkGM7JQuAN95xsAr7szq8GnnJ/71dxPKynxTnJco4uprt6xl+4v/cG4IXUeN3POJ4XPag7Amo0Go1Go9FoNP1Q7DHNGo1Go9FoNBpNwdGiWaPRaDQajUaj6QctmjUajUaj0Wg0mn7Qolmj0Wg0Go1Go+kHLZo1Go1Go9FoNJp+0KJZU7KISLWIfPwUy8tE5E8iYubpeAtE5KF87Euj0WhOZ0TkkyKyRUR6dUQUkbNF5Efu9B0i8v0ey18QkaWn2PfP01pOazR5Q4tmTSlTDfQpmnHqVf5KKWXl42BKqY3AJBGZnI/9aTQazWnMx4ErlFK3Zln2eeC+Iez7P4DPDGF7jSYrWjRrSpl7gRkisl5E/jXL8luB3wCIyHgRedFdd5OIXODOv1JEXhWRdSLySxGpcOcvE5FXRGSDiLwmIiF3n7/F6TSk0Wg0mkEgIvfjNGb5vYj8bY9lIWChUmpDDvu53h3T14vINhHZ4y76M3B5WotxjSYv6OYmmpJFRKbidAg6K8syH7BfKTXO/fxpIKCU+kc3XCOI01LzVzjdgTpF5LPuvHtxuurdpJRaIyKVQFgplRSR84B7lFLvGInfUaPRaEYjIrIXp5PdiR7zLwE+oZR6l/v5DuBfgUNpq80ELlZKrU3b7hfAn5RSP3A/P4szVr8+nL+H5vRCP4VpRiv1QEva5zXAj0XEC/yvUmq9iFyE0xL5ZREBp/f8q8Ac4IhSag2AUqotbT/HgQnDb75Go9GclowHGnvMe0wp9YnUBxF5IX2hiHwGiKQEs0tqrNaiWZM3tGjWjFYiOH3oAVBKvSgiFwJvBx4SkW8DzcCzSqlb0jcUkQWn2G/A3bdGo9Fo8k/G2N0fInI58B7gwh6L9FityTs6pllTyrQDoWwLlFLNgCkiAQARmQIcU0r9F/AAsARYBZwnIjPddcpFZDawDRgvIsvc+aG02LjZwKZh/J00Go3mdGYLTvhFv7jj+g+A9yilegpkPVZr8o4WzZqSRSnVhBNasamPRMBngPPd6YuBDSLyBnAT8D2lVCNwB/CoiLyJE5oxVykVd9f5NxHZADxLt+fjEuCpYfqVNBqN5rRGKbUVqEpLvj4VdwB1wP+6yYC/AxCRsTjhGkeHz1LN6YhOBNSMWkRkCfC3Sqn352l/fuBPwPlKqWQ+9qnRaDSaTNyKGu1KqQeGsH2bUupH+bVMc7qjPc2aUYtSah3wfL6amwCTcbKxtWDWaDSa4eM/gNgQtm8BHs6PKRpNN9rTrNFoNBqNRqPR9IP2NGs0Go1Go9FoNP2gRbNGo9FoNBqNRtMPWjRrNBqNRqPRaDT9oEWzRqPRaDQajUbTD1o0azQajUaj0Wg0/aBFs0aj0Wg0Go1G0w//H/syf103JJnwAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 对信号增强up_factor倍\n",
    "x_filter_amplified = x_filter * up_factor\n",
    "# 对信号进行延迟补偿\n",
    "x_filter_shifted = np.roll(x_filter_amplified, int(np.round(-Avg_gd[0])))\n",
    "# 截取有效部分进行比较\n",
    "x_filter_valid = x_filter_shifted[N:-N]\n",
    "x_target_valid = x_target[N:-N]\n",
    "\n",
    "# Plot the signals for inspection.\n",
    "fig, axs = plt.subplots(1, 2, figsize=(12, 2), squeeze=False)\n",
    "TITLES = ['sequence', 'spectrum']\n",
    "plot_signals(\n",
    "    ['x_target', 'x_filter'],\n",
    "    [x_target_valid, x_filter_valid],\n",
    "    fs_up, axs[0, :],\n",
    "    TITLES\n",
    ")\n",
    "# 计算信噪比\n",
    "print(f\"SNR = {SNR(x_target_valid, x_filter_valid)} dB\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观察到, 滤波后信号与目标信号重合, 且信噪比较大, 验证了原理的正确性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 原型实现\n",
    "\n",
    "完成以上原理验证后，将核心代码进行优化整合，实现可方便重复使用的原型函数。\n",
    "\n",
    "* 编写一个基于数字滤波器的增采样函数`upsample_filter()`。\n",
    "  * 输入：低采样率的信号 `x`\n",
    "  * 输出：增采样后的信号 `x_filter`\n",
    "  * 其他输入输出参数：自定义。【提示】适当考虑后续设计过程中，滤波器类型、滤波器指标、增采样倍数等可能会多次改变。\n",
    "* 编写一个视觉评估增采样效果的函数`evaluate_visual()`。\n",
    "  * 输入：`x1`、`x2`——两个需要进行对比的信号。\n",
    "  * 输出：时域序列、频谱。\n",
    "  * 其他输入输出参数：自定义。【提示】截取两个信号的“有效”部分并对齐，才可得到有意义的比较。\n",
    "* 编写一个客观评估增采样效果的函数`evaluate_objective()`。\n",
    "  * 输入：`x1`、`x2`——两个需要进行对比的信号。\n",
    "  * 输出：信噪比SNR\n",
    "  * 其他输入输出参数：自定义。【提示】截取两个信号的“有效”部分并对齐，才可得到有意义的比较。\n",
    "* 测试以上原型函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "def upsample_filter(x, b, a, up_factor, fs, bands):\n",
    "    \"\"\"\n",
    "    Parameters\n",
    "    ---\n",
    "    x: array_like\n",
    "        低采样率信号\n",
    "    x_target: array_like\n",
    "        目标增采样信号\n",
    "    b: array_like\n",
    "        滤波器参数b\n",
    "    a: array_like\n",
    "        滤波器参数a\n",
    "    up_factor: int\n",
    "        增采样倍数\n",
    "    fs: float\n",
    "        增采样率后采样频率\n",
    "    bands : array_like\n",
    "        元组列表, `(band_type, band_start, band_end)`, 描述滤波器每个带信息.\n",
    "        `band_type`: str, 'pass', 'tran', 'stop' 3 选 1\n",
    "        `band_start`, `band_end`: float, 起止频率, 归一化到 `fs`.\n",
    "    Returns\n",
    "    ---\n",
    "    x_filter: array_like\n",
    "        增采样后信号\n",
    "    x_filter_valid: array_like\n",
    "        增采样后信号有效区段\n",
    "    x_target_valid: array_like\n",
    "        目标增采样信号有效区段\n",
    "    \"\"\"\n",
    "    # 滤波器长度\n",
    "    N = filter_len(b, a)\n",
    "\n",
    "    # 取出通带信息\n",
    "    band_type, w_start, w_end = bands[0]\n",
    "    assert band_type == 'pass', 'Only support low pass filter'\n",
    "    # 计算通带群延迟\n",
    "    _, gd_tmp = signal.group_delay(\n",
    "        (b, a),\n",
    "        w=np.linspace(w_start, w_end, 512),\n",
    "        fs=fs)\n",
    "    # 将通带群延迟取平均\n",
    "    gd = gd_tmp.mean()\n",
    "\n",
    "    # 在采样信号中插0\n",
    "    # 注意: 最后一个点不需要插0\n",
    "    x_insert_0 = np.zeros((len(x) - 1) * up_factor + 1)\n",
    "    x_insert_0[::up_factor] = x\n",
    "\n",
    "    # 获取滤波后序列\n",
    "    x_filter = signal.lfilter(b, a, x_insert_0) * up_factor\n",
    "\n",
    "    # 对信号进行延迟补偿\n",
    "    x_filter_shifted = np.roll(x_filter, int(np.round(-gd)))\n",
    "\n",
    "    # 截取有效部分\n",
    "    x_filter_valid = x_filter_shifted[N:-N]\n",
    "    x_target_valid = x_target[N:-N]\n",
    "\n",
    "    return x_filter, x_filter_valid, x_target_valid\n",
    "\n",
    "\n",
    "def evaluate_visual(x_upsample, x_target, fs_up):\n",
    "    \"\"\"\n",
    "    Parameters\n",
    "    ---\n",
    "    x_upsample: array_like\n",
    "        增采样信号有效区段\n",
    "    x_target: array_like\n",
    "        目标增采样信号有效区段\n",
    "    fs_up: float\n",
    "        增采样率后采样频率\n",
    "    Returns\n",
    "    ---\n",
    "    x_upsample: array_like\n",
    "        增采样信号有效区段时域序列\n",
    "    x_upsample_fft: array_like\n",
    "        增采样信号有效区段频谱序列\n",
    "    x_target: array_like\n",
    "        目标增采样信号有效区段时域序列\n",
    "    x_target_fft: array_like\n",
    "        目标增采样信号有效区段频谱序列\n",
    "    \"\"\"\n",
    "    # Plot the signals for inspection.\n",
    "    fig, axs = plt.subplots(1, 2, figsize=(12, 2), squeeze=False)\n",
    "    TITLES = ['sequence', 'spectrum']\n",
    "    plot_signals(\n",
    "        ['x_target', 'x_upsample'],\n",
    "        [x_target, x_upsample],\n",
    "        fs_up, axs[0, :],\n",
    "        TITLES\n",
    "    )\n",
    "    return x_upsample, np.fft.fft(x_upsample), x_target, np.fft.fft(x_target)\n",
    "\n",
    "\n",
    "def evaluate_objective(x_upsample, x_target):\n",
    "    \"\"\"\n",
    "    Parameters\n",
    "    ---\n",
    "    x_upsample: array_like\n",
    "        增采样信号有效区段\n",
    "    x_target: array_like\n",
    "        目标增采样信号有效区段\n",
    "    Returns\n",
    "    ---\n",
    "    snr: float\n",
    "        信噪比\n",
    "    \"\"\"\n",
    "    # 扩大数据类型长度，防止溢出\n",
    "    x_upsample = x_upsample.astype(np.float64)\n",
    "    x_target = x_target.astype(np.float64)\n",
    "    # 计算信噪比\n",
    "    return 10 * np.log10(np.sum(x_target**2) / np.sum((x_target - x_upsample)**2))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNR = 53.06106197643105\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 滤波器增采样\n",
    "x_filter, x_filter_valid, x_target_valid = upsample_filter(\n",
    "    x, FIR_b, FIR_a, up_factor, fs, bands)\n",
    "# 视觉评估\n",
    "x_filter_valid_out, x_filter_valid_fft_out, x_target_valid_out, x_target_valid_fft_out = evaluate_visual(\n",
    "    x_filter_valid, x_target_valid, fs)\n",
    "# 客观评估\n",
    "snr = evaluate_objective(x_filter_valid, x_target_valid)\n",
    "print(f'SNR = {snr}')\n",
    "# 校验视觉评估函数输出结果\n",
    "assert (x_filter_valid == x_filter_valid_out).all(\n",
    "), \"Error! x_filter_valid_out not equal\"\n",
    "assert (np.fft.fft(x_filter_valid) == x_filter_valid_fft_out).all(\n",
    "), \"Error! x_filter_valid_fft_out not equal\"\n",
    "assert (x_target_valid == x_target_valid_out).all(\n",
    "), \"Error! x_target_valid_out not equal\"\n",
    "assert (np.fft.fft(x_target_valid) == x_target_valid_fft_out).all(\n",
    "), \"Error! x_target_valid_fft_out not equal\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观察到, 输出结果同上文, 验证了函数的正确性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 基于时域插值的增采样方法\n",
    "\n",
    "### 原理分析\n",
    "\n",
    "* 查阅资料自学最近邻域插值(nearest neighbour interpolation)、线性插值(linear interpolation)的基本原理。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 最近邻域插值(nearest neighbour interpolation)\n",
    "\n",
    "最近邻插值算法选择距离所求数据点最近点的值，并且根本不考虑其他相邻点的值\n",
    "\n",
    "https://zh.wikipedia.org/wiki/%E6%9C%80%E8%BF%91%E9%82%BB%E6%8F%92%E5%80%BC\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 线性插值(linear interpolation)\n",
    "\n",
    "https://zh.wikipedia.org/wiki/%E7%BA%BF%E6%80%A7%E6%8F%92%E5%80%BC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 原理验证\n",
    "\n",
    "* 查找可实现以上插值方法的函数库，并学习相关函数的使用方法。\n",
    "* 编写简单代码，验证利用相关插值函数对低采样率信号 `x` 进行增采样的可行性。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNR = 8.407238265623223 dB\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 低采样率信号横坐标\n",
    "w = np.linspace(0, len(x), num=len(x), endpoint=False)\n",
    "# 生成插值函数\n",
    "f = interpolate.interp1d(w, x, kind='nearest')\n",
    "# 增采样信号横坐标\n",
    "x_interp = np.linspace(0, len(x)-1, num=(len(x) - 1) * up_factor + 1)\n",
    "# 增采样信号\n",
    "x_interp = f(x_interp)\n",
    "# 画出图像\n",
    "evaluate_visual(x_interp, x_target, fs)\n",
    "\n",
    "print(f'SNR = {evaluate_objective(x_target, x_interp)} dB')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观察到, 视觉评估图像上, 最邻近插值增采样信号在时域上接近目标增采样信号, 但在频域上多出一些高频分量, 影响了信号的信噪比\n",
    "\n",
    "最邻近插值验证了时域插值的可行性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 原型实现\n",
    "\n",
    "完成以上原理验证后，将核心代码进行优化整合，实现可方便重复使用的原型函数。\n",
    "\n",
    "* 编写一个基于时域插值的增采样函数`upsample_interp()`。\n",
    "  + 输入：低采样率的信号 `x`\n",
    "  + 输出：增采样后的信号 `x_interp`\n",
    "  + 其他输入输出参数：自定义。【提示】适当考虑后续设计过程中，插值算法、增采样倍数等可能会多次改变。\n",
    "  + 确保可利用以上设计的 `evaluate_visual()` 和 `evaluate_objective()` 来评估增采样效果。\n",
    "* 测试以上原型函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "def upsample_interp(x, up_factor, kind = 'nearest'):\n",
    "    \"\"\"\n",
    "    Parameters\n",
    "    ---\n",
    "    x: array_like\n",
    "        低采样率信号\n",
    "    up_factor: int\n",
    "        增采样倍数\n",
    "    kind: str\n",
    "        插值算法\n",
    "    Returns\n",
    "    ---\n",
    "    x_interp: array_like\n",
    "        增采样后信号\n",
    "    \"\"\"\n",
    "    # 低采样率信号横坐标\n",
    "    w = np.linspace(0, len(x), num=len(x), endpoint=False)\n",
    "    # 生成插值函数\n",
    "    f = interpolate.interp1d(w, x, kind=kind)\n",
    "\n",
    "    # 增采样信号横坐标\n",
    "    x_interp = np.linspace(0, len(x)-1, num=(len(x) - 1) * up_factor + 1)\n",
    "    # 增采样信号\n",
    "    x_interp = f(x_interp)\n",
    "    return x_interp\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNR = 8.407238265623223 dB\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 进行信号增采样\n",
    "x_interp = upsample_interp(x, up_factor, kind='nearest')\n",
    "# 视觉评估\n",
    "evaluate_visual(x_interp, x_target, fs)\n",
    "# 客观评估\n",
    "print(f'SNR = {evaluate_objective(x_target, x_interp)} dB')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观察到, 输出结果同上文, 验证了函数的正确性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 真实语音信号增采样"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_filter(fs, kind='fir', R_p_target=1, A_s_target=40):\n",
    "    \"\"\"\n",
    "    Parameters\n",
    "    ---\n",
    "    fs:int\n",
    "        增采样后采样频率\n",
    "    kind:str\n",
    "        滤波器类型{fir, iir}\n",
    "    R_p_target: float\n",
    "        通带最大纹波\n",
    "    A_s_target:\n",
    "        阻带最小衰减\n",
    "    Returns\n",
    "    ---\n",
    "    b:array_like\n",
    "        滤波器b参数\n",
    "    a:array_like\n",
    "        滤波器a参数\n",
    "    bands:array_like\n",
    "        滤波器带信息\n",
    "    \"\"\"\n",
    "    # 语音信号频率范围 300-3.4kHz\n",
    "    w_p, w_st = 3.4e3, 4.6e3\n",
    "\n",
    "    # 过渡带宽度\n",
    "    f_tran = abs(w_p - w_st)\n",
    "    # 过渡带宽度需表示为 过渡带带宽 / 奈奎斯特频率\n",
    "    width = f_tran / (fs / 2)\n",
    "\n",
    "    a = None\n",
    "    b = None\n",
    "    if kind == 'fir':\n",
    "        # 使用kaiserord计算凯泽窗参数，第一个参数为阻带最小衰减(单位dB), 第二个参数为过渡带宽度\n",
    "        N, beta = signal.kaiserord(A_s_target, width)\n",
    "        window = ('kaiser', beta)\n",
    "\n",
    "        # Compute the FIR coefficients.\n",
    "        w_c = (w_p + w_st) / 2\n",
    "        b = signal.firwin(N, w_c, window=window, fs=fs)\n",
    "        a = [1]\n",
    "    else:\n",
    "        # ftype='butter'\n",
    "        # ftype='cheby1'\n",
    "        # ftype='cheby2'\n",
    "        ftype = 'ellip'\n",
    "        b, a = signal.iirdesign(\n",
    "            w_p, w_st,\n",
    "            R_p_target, A_s_target,\n",
    "            ftype=ftype,\n",
    "            fs=fs)\n",
    "\n",
    "    # 滤波器带信息\n",
    "    bands = [\n",
    "        ('pass', 0, w_p),\n",
    "        ('tran', w_p, w_st),\n",
    "        ('stop', w_st, fs/2)\n",
    "    ]\n",
    "\n",
    "    return b, a, bands"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 35, R_p = 1.793145, A_s = 21.418403\n",
      "Avg_gd = [17.0]\n",
      "N = 91, R_p = 0.167448, A_s = 40.961639\n",
      "Avg_gd = [45.0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\14491\\AppData\\Local\\Packages\\PythonSoftwareFoundation.Python.3.9_qbz5n2kfra8p0\\LocalCache\\local-packages\\Python39\\site-packages\\scipy\\signal\\filter_design.py:689: UserWarning: The group delay is singular at frequencies [3.142], setting to 0\n",
      "  warnings.warn(\n",
      "C:\\Users\\14491\\AppData\\Local\\Packages\\PythonSoftwareFoundation.Python.3.9_qbz5n2kfra8p0\\LocalCache\\local-packages\\Python39\\site-packages\\scipy\\signal\\filter_design.py:689: UserWarning: The group delay is singular at frequencies [3.142], setting to 0\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 174, R_p = 0.005307, A_s = 70.687233\n",
      "Avg_gd = [86.5]\n",
      "N = 4, R_p = 1.000000, A_s = 20.000044\n",
      "Avg_gd = [5.555051139427298]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\14491\\AppData\\Local\\Packages\\PythonSoftwareFoundation.Python.3.9_qbz5n2kfra8p0\\LocalCache\\local-packages\\Python39\\site-packages\\scipy\\signal\\filter_design.py:689: UserWarning: The group delay is singular at frequencies [3.142], setting to 0\n",
      "  warnings.warn(\n",
      "C:\\Users\\14491\\AppData\\Local\\Packages\\PythonSoftwareFoundation.Python.3.9_qbz5n2kfra8p0\\LocalCache\\local-packages\\Python39\\site-packages\\scipy\\signal\\filter_design.py:689: UserWarning: The group delay is singular at frequencies [3.142], setting to 0\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 6, R_p = 1.000000, A_s = 40.000033\n",
      "Avg_gd = [11.49271921841397]\n",
      "N = 8, R_p = 1.000000, A_s = 70.000038\n",
      "Avg_gd = [18.0410184650314]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pU9wv9kAKCtyjah5/3CVNcIn9gAPcPZ7993dntb17u1/mxtTFd8bo/c6VtG9f+22PaPIl80CJ1X9ZYaH7v7BrV+ApP9/d21mxovKy2mRk7E2mvqlz571Tly575zt0cJe3E8cRwFJV9b8J/TYwTUQewLX16Qd8XVdBdd0DfQTYD2giIj8AzYEPcA2KngbOCil8ExfZ2XvnMzNr2Cg1Ff75T5dU7r7bNda4+OLoJs/apKS4S7kDBsBvf+v+ILz9trsPeMUVLrG/9po7c/T32msuwW7c6H453HuvazgxeHDC/nI2pl78k7mvIVOkVFS4pLtjh7v1Ute0erVrdLV5c/WyUlJcIu3d290/6tPHTf36wcCBNQ/YHT1nAC/5L1DVxSLyKvA9UAZcpqrldRVU18+C8ao6UEQycaezHVS1XEQeB74LLXZHRE4D/gAMAEap6ly/dTcCFwDlwJWq+qF3+QTgYSAVeFJV62jxYPwFfeujZ0/XEtTXovDKK6MVUv1lZbmWgKef7u7b/va37tr0hx+6y9Cw92bvyJHuDPSQQyxpGlMfKSl7L+PW59ZASYk7m920yU0bN7rXdetcO4MPPnDv/Y+z774wbBiMGuVuzQwcGNX/r6p6Xg3L7wburk9ZdSXQYm/BxSKy1peRVVVFJNy76Ytw16Ef919YpT9OF+ATEenvXf0IcCSuhdQcEXlbVb8PMw4TSP/+8OmnrsvAgAHxjiaw446DOXPgsMNcs/9ly1xSvf1291y3J5/c2zXHGBN9GRnQvbubalJQAKtWufYO334L33zjuh/5ul116uSuFk2eDIceWr+2DjFWVwLtICLXAOI3j/d9ds271U1VlwBI9V8aNfXHAddqapV3v5e92zaqBHrqiMg0FKmzHN/13vbtI3K8qOnWzf3HGzXKdR955hl35vnUU4l238UYA669wZAhbjrllL3L16xxfXM/+cT1UX76abfNHXe4R0sl4FWkuv7CPAG0CDAP8GRUIqq9P866KssDdhoTkSnAFIDs7Gw8vs7VDYDvV4vHszLEEnJdOfkray2n644d9AMKS0v5up71l5+fH/M6Hz5gAM3uuYfU4mIWn3sum2fNiunx4y0edW6s3iPOe3805dxzyf7sM3q8+CJNTz6ZXw49lGXXXUd506Z1lxFDdXVjuSOcwoPpjxMN3k61U8H1A80NNCpHktpWUAJA22Y1tDwN0n4HHFR7Ob/8An/7G02zsqhv/Xk8nnrvE7ZJk9wvVWDQhRdC1zr7QDcocalzY/UeTRMmuBGj/vpXOtx8Mx3APaMxgdTVCrf6kCd+VLXW1iV19cepQW39cerdT6ehueQF1x0jlH6g9SrH148zAS+bBHTMMS6Btm4deLQaY0zySUuD6693/6fPOWfvUIgJoq67s/O8UyYwHFjunYYC4Z0C1ext4AwRaSIivdjbH2cO0E9EeolIBq6h0dtRisG0aeNekyWBjhzpBjwYNCh5YjbGBOfss9040Q8/HO9IKqnrEu6zACJyCTDOO/oQIvIY8EU4BxaRk4C/427rvSciC1T16Nr644jI5cCHuG4sT6vq4nBiaIx8I9RNebmODX2t6AINCp2IUlNdowNf4jfGNCznnw+//nW8o6gk2GaKbYCWwDbv++beZSFT1TeAN2pYF7A/jqrOAGaEc9zGrlWrIDds29b16Uqmlqy/+lW8IzDGREunQM1p4ivYv473At+IyExcF5ZDcIMgmIbM+lAaYxJFAvYHDSqBquozIvI+e7uNXK+qP0UvLFOTyQf2SKhyjDEmJhLwKTJ1tcLtqaprALwJ860q6wXoWmVQXhNFJ+wfmRamkSrHGGNiIgnPQO8TkRRc4pwHbMa1yO0LjAcOB27HDWpgYmBjnnsKfZfW4Q3AHKlyjDEmJpItgarqad6xac8CfgN0BgqBJbjGPHeranHUozR7XP3KAiD8fqCRKscYY2Ii2RIogHew9ptjEIsxxhgTWAIm0KAiEpGmInKLiEz1vu8nIsdHNzRjjDHGK1kTKPAMUAJ4H7jIBuCuqERkjDHGVJWArXCDTaB9VPUvQCmAqhbi+oMaY4wx0ZeAZ6DBDqRQIiJZgAKISB9gd9SiMjW68ODeCVWOMcbERBIn0NuBD4DuIvIiMBY4L1pBmZodMbBjQpVjjDExkawJVFU/FpH5wIG4S7e/U9UtUY3MBLRycz4AfbKbJ0Q5xhgTE8mWQEVkeJVFm7yv+4jIPqo6PzphmZrc9PpCIPz+m5EqxxhjYiLZEijwV+9rJjAS+BZ3BrofMBewv77GGGOiLwETaK0Rqep4VR2PO/McrqojVXUEMAzXlcUYY4yJviTuxpKjqgt9b1R1ETAgOiEZY4wxVSTbGaif70TkSRHJ9U5PAN+Fc2ARuU9ElorIdyLyhoi09lt3o4isEJFlInK03/IJ3mUrROSGcI5vjDEmiSRgAg22G8v5wCXA77zvPwceDfPYHwM3qmqZiPwZuBG43jt4/RnAIKAL8ImI9Pfu8whwJO7pL3NE5G3vWL2NxhWH9UuocowxJiaSNYF6n7jyoHeKCFX9yO/tl8Cp3vkTgZdVdTewWkRWAKO861ao6ioAEXnZu22jSqDj+rVPqHKMMSYmkjWBishqvKMQ+VPVSA1n8xvgFe98V1xC9VnvXQawrsry0RE6ftJYvHEHAIO6tEqIcowxJiaSNYHiurD4ZAKnAW3r2klEPgE6BVh1s6q+5d3mZqAMeDHIWOokIlOAKQDZ2dl4PJ5IFR1393zlHoR94+jwHoQdqXICyc/Pb1B1ngyszuMjHvUuIjRr1ozUBGyVGknl5eUUFBSg6s7d0nbsYFycY6oq2Eu4W6ssekhE5gG31bHfEbWtF5HzgOOBw9VXS657THe/zbqxt8tMTcurHncqMBUgJydHc3NzawsjqTy6bDYAubnhdcGNVDmBeDweGlKdJwOr8/iIR72vXr2aFi1a0K5dO0Qa5jM9VJWtW7eya9cuevXq5RZu3x7foAII9hKu/4hEKbgz0mDPXmsqcwJwHXCo9+kuPm8D00TkAVwjon7A17gBHPqJSC9c4jwD+HU4MRhjTLIpLi6mZ8+eDTZ5gjvLbteuHZs3b967MIkv4f7Vb74MWA1MCvPY/wCaAB97vwhfqurFqrpYRF7FNQ4qAy5T1XIAEbkc+BBIBZ5W1cVhxmCMMUmnISdPn2qfMYkT6AW+1q8+3jPBkKlq31rW3Q3cHWD5DGBGOMc1xhiThJI4gU4Hqg4sPx0YEdlwTF2um5CTUOUYY0xMJFsCFZF9cQMatBKRk/1WtcS1xjUxNqJHnY2fY1qOMcbERAK2Oq4rpefgWsm2Bk7wm4YDF0Y1MhPQvLXbmLd2W8KUY4xpfNasWcO+++7LWWedxYABAzj11FMpLCzkzjvv5IADDmDw4MFMmTJlTxeUv/3tbwwcOJD99tuPM844A4DPPvuMoUOHMnToUIYNG8auXbtqP2iynYF6+2q+JSJjVHV2jGIytfjLB8uA8J/jGalyjDHxc9UHV7HgpwURLXNop6E8NOGhOrdbtmwZTz31FGPHjuU3v/kN//znP7n88su57TbXu/Hss8/m3Xff5YQTTuDee+9l9erVNGnShLy8PADuv/9+HnnkEcaOHUt+fj6ZmXVc1EzABFprRCJynXf21yLyt6pTDOIzxhiTgLp3787YsWMBmDx5MrNmzWLmzJmMHj2aIUOG8Omnn7J4sesosd9++3HWWWfxwgsvkJbmztvGjh3LNddcw9/+9jfy8vL2LK9RArY8rqsR0RLv69xoB2KMMaZ+gjlTjJaq3UxEhEsvvZS5c+fSvXt3/vCHP1BcXAzAe++9x+eff84777zD3XffzcKFC7nhhhs47rjjmDFjBmPHjuXDDz9k3333re2AbtJqo8rGTV0P1H7H+/psoCk2IRpjjEk0P/74I7Nnuzt706ZNY9w4N9Be+/btyc/PZ/r06QBUVFSwbt06xo8fz5///Gd27NhBfn4+K1euZMiQIVx//fUccMABLF26tO6DJthl3Lpa4b5DgEHkfVT1VxGPyBhjTMLLycnhkUce4Te/+Q0DBw7kkksuYfv27QwePJhOnTpxwAEHAG5M28mTJ7Njxw5UlSuvvJLWrVtz6623MnPmTFJSUhg0aBDHHHNM3QdNTYXy8ih/suDVdQn3/phEYYJ22wkDE6ocY0zjlJaWxgsvvFBp2V133cVdd91VbdtZs2ZVW/b3v/+9/gdNpjNQVf3MNy8iGcC+uDPSZapaEuXYTACRevyYPcbMGJN0kimB+ojIccBjwErcoO69ROQiVX0/msGZ6mYt3wKE/0DsSJVjjGl8evbsyaJFi2J/4GRMoLjB5Mer6goAEekDvAdYAo2xv3+6HAg/8UWqHGOMiZkES6DBRrPLlzy9VgF1DBthjDHGRFCCJdBgz0DnisgM4FXcPdDTgDm+8XFV9fUoxWeMMcY4CTYebrAJNBP4GTjU+34zkIUbF1cBS6DGGGOiKxnPQFX1/GgHYowxJvHl5eUxbdo0Lr300tgfPBkTqPfh2VcAPf33sYEUYu9PJw9JqHKMMY1LXl4e//znP6sl0LKysrrHsw1XMiZQ4E3gKeAdoCISBxaRPwInesv7BThPVTeKG2DxYeBYoNC7fL53n3OBW7xF3NUYhxPsk908ocoxxjQuN9xwAytXrmTo0KGkp6eTmZlJmzZtWLp0KT/88AMTJ05k3bp1FBcX87vf/Y4pU6YA0Lx5c373u9/x7rvvkpWVxVtvvUXHjh3rd/AkTaDFqhrpp6/cp6q3AojIlcBtwMXAMUA/7zQaeBQYLSJtgduBkbj7rvNE5G1V3R7huBLaJ9//DMARA+v5xYtSOcaY+LnqKliwILJlDh0KDz1U8/p7772XRYsWsWDBAjweD8cddxyLFi2iV69eADz99NO0bduWoqIiDjjgAE455RTatWtHQUEBBx54IHfffTfXXXcdTzzxBLfcckvNBwokSRPowyJyO/ARsNu30HdmGApV3en3thl7x9w9EXhO3ZNYvxSR1iLSGcgFPlbVbQAi8jEwAXgp1BiS0RNfrALCT3yRKscY07iNGjVqT/IE9/DsN954A4B169axfPly2rVrR0ZGBscffzwAI0aM4OOPP67/wZK0Fe4Q4GzgMPZewlXv+5CJyN3AOcAOYLx3cVdgnd9m673LaloeqNwpwBSA7OxsPB5POGEmlLy8IoCwP1OkygkkPz+/QdV5MrA6j4941HurVq3Ytct1w//jH6NzjF219PLPz8+noqKCXbt2UVhYSJMmTfbE88UXX/Dhhx/y0Ucf0bRpU4499li2bdvGrl27SE9PJz8/H4CSkhKKior27FeT4uLiSvU7uiSxRpANNoGeBvSu7/i3IvIJ0CnAqptV9S1VvRm4WURuBC7HXaINm6pOBaYC5OTkaG5ubiSKTQiPLnOPD8rNHZMQ5QTi8XhoSHWeDKzO4yMe9b5kyRJatGgR02P669y5MwUFBbRo0YKmTZuSlpa2J57S0lLat29Px44dWbp0KXPmzKFp06Z71vtes7KySE9Pr/NzZGZmMmzYsL0LmjaNzocKUbAJdBHQGtfYJ2iqekSQm74IzMAl0A1Ad7913bzLNuAu4/ov99QnHmOMMeFp164dY8eOZfDgwWRlZVVqCDRhwgQee+wxBgwYQE5ODgceeGBkD56k90BbA0tFZA5774Gqqp4Y6oFFpJ+qLve+PRHwPU31beByEXkZ14hoh6puEpEPgT+JSBvvdkcBN4Z6fGOMMaGZNm1awOVNmjTh/fcDD5Huu3wLcOqpp3LqqafW/8BJmkD9L60KcDBwRpjHvldEcnD3VNfiWuCCOxM9FliB68ZyPoCqbvN2fZnj3e5OX4OixuTB04cmVDnGGBMzyZhAVfUzERkG/Bp3P3Q17vFmIVPVU2pYrsBlNax7Gng6nOMmuy6tsxKqHGOMiZlkSqAi0h840zttAV4BRFXH17afiZ53vt0IwAn7d0mIcowxJmaSrBvLUuAL4Hi/Z4FeHfWoTI1e+HItEH7ii1Q5xhgTMwl2BlpXNCcDm4CZIvKEiByOuwdqjDHGxFYyJVBVfVNVzwD2BWYCVwEdRORRETkqBvEZY4wxTjIlUB9VLVDVaap6Aq7/5TfA9VGNzBhjTNJ46KGHKCwsjO5BkjGB+lPV7ao6VVUPj0ZAxhhjkk9jTKBRfnibibRHJ49IqHKMMY1PQUEBkyZNYv369ZSXl3PaaaexceNGxo8fT/v27Zk5cyYvvfQSf/rTn1BVjjvuOP785z8D7rFmF154IR999BGdOnXi5ZdfJjs7O7gDJ1krXJNg2jbLSKhyjDFxFI/nmQEffPABXbp04b333gNgx44dPPPMM8ycOZP27duzceNGrr/+eubNm0ebNm046qijePPNN5k4cSIFBQWMHDmSBx98kDvvvJM77riDf/zjH8HFlmBnoIkVjanTa3PX8drcdXVvGKNyjDGNz5AhQ/j444+5/vrr+eKLL2jVqlWl9XPmzCE3N5fs7GzS0tI466yz+PzzzwFISUnh9NNPB2Dy5MnMmjUr+AMnWAK1M9AkM33eegBOG9m9ji1jU44xJo7qOFOMlv79+zN//nxmzJjBLbfcwuGHh94kRqQePSMTLIEmVjTGGGMS3saNG2natCmTJ0/m2muvZf78+bRo0WLP8z1HjRrFZ599xpYtWygvL+ell17i0EMPBaCiooLp06cDblD6cePGBX/gBEugdgZqjDGmXhYuXMi1115LSkoK6enpPProo8yePZsJEybQpUsXZs6cyb333sv48eP3NCI68UT38K5mzZrx9ddfc9ddd9GhQwdeeeWV4A9sCdQYY0wyO/roozn66KMrLRs5ciRXXHHFnvdnnnkmZ555ZsD9H3jggdAOnGCtcBMrnRtjjDE1sTNQE45/nT8qocoxxpj68H+wdr1ZAjXhyMqIzCWMSJVjjIk9Va1f69Uk5B4NXUWCJdDEisbU6fnZa3h+9pqEKccYE1uZmZls3bo1cIJpIFSVrVu3kpmZWXlFgiXQuJ+Bisj/AfcD2aq6RdzPqoeBY4FC4DxVne/d9lzgFu+ud6nqs/GIOZ7e/W4TAGeP6ZkQ5RhjYqtbt26sX7+ezZs3xzuUqMrMzKRbt25VF8YnmBrENYGKSHfgKOBHv8XHAP2802jgUWC0iLQFbgdGAgrME5G3VXV7bKM2xpj4SU9Pp1evXvEOIz6mTYOXXop3FHvE+3z4QeA6XEL0ORF4Tp0vgdYi0hk4GvhYVbd5k+bHwISYR2yMMcYQxzNQETkR2KCq31a5Gd4V8B+kdb13WU3LA5U9BZgCkJ2djcfjiVzgcZaXVwQQ9meKVDmB5OfnN6g6TwZW5/Fh9d64RTWBisgnQKcAq24GbsJdvo04VZ0KTAXIycnR3NzcaBwmLh5dNhuA3NwxCVFOIB6Ph4ZU58nA6jw+rN4bt6gmUFU9ItByERkC9AJ8Z5/dgPkiMgrYAPiPcN7Nu2wDkFtluaeuGH744Yd8EVkWQvgJ7dWLE6ucKtoDW6JSsqmJ1Xl8WL3H3tB4B+AjidAUWkTWACO9rXCPAy7HtcIdDfxNVUd5GxHNA4Z7d5sPjFDVbXWUPVdVR0YvelOV1XnsWZ3Hh9V77CVSnce9G0sAM3DJcwWuG8v5AKq6TUT+CMzxbndnXcnTGGOMiZaESKCq2tNvXoHLatjuaeDpGIVljDHG1Cje3VhiYWq8A2iErM5jz+o8PqzeYy9h6jwh7oEaY4wxyaYxnIEaY4wxEWcJ1BhjjAmBJVBjjDEmBJZAjTHGmBBYAjXGGGNCYAnUGGOMCYElUGOMMSYElkCNMcaYEFgCjTER6SAi5SJS4Z3W1LLtmyKiInKb9/1nIlLtyQ8iskZEFldZpiIyOuIfwBhjDGAJNB42A31VNQVoBXQXkburbiQifYHjgYoYx2eMMSYIlkBjTJ3V3retACFwkvwf8AoQcKxFEXnReyZb61mmiHzld7arIlIaTvzGGGMcS6BxICJNRKQCWAdsUtVbq6y/CWihqmfVsP+/gdOBYar6lXfxQL9EuSchq+pov7PdcmB6FD6SMcY0OpZA40BVd3uT2n5ABxG50rdORNKAO4Gza9i9LTARGKSq3/kt/15VU3xTgP3WAOtV9cxIfAZjjGnsLIHGkaouBH4ELvJb3B9IBV4TEfXO3+FrSASU4C77nh7scUTkM6A50DcScRtjjLEEGnMiMkZEhnjnOwM9gG9961X1e1UV34S77Hq7qt7p3SQfl3D/ICIBHzxe5Xg3AwcDB6hqWYQ/jjHGNFpp8Q6gERoD3C8ivverVfXX3u4sX6lqnWeWqvqEiLQD/i4ieXVsfh3ujHWB95g7VbV1iLEbY4zxsgdqG2OMMSGwS7jGGGNMCCyBGmOMMSGwBGqMMcaEwBKoMcYYEwJLoElIRL6MdwzGGNPYWSvcJCQi5aqaGu84jDGmMbMzUGOMMSYEDX4ghebNm2tDO8tOSUmhWbNmCfuh2rZty7Zt2+IdRqNidR4fVu+xV1hYWKqqGfGOAxpBAu3atSvLli2LdxgRc/Hz8wB47OwRCVFOIB6Ph9zc3IiXa2pmdR4fVu+xJyLf1b1VbDT4BNrQbC8sSahyjDGmsUq4e6Ai8rSI/CIii+IdizHGGFOThEugwL+ACfEOIlzLty7nuW+fi/pxHn8cNm6M+mGMMcZUkXCXcFX1cxHp6b9MRPoAXwIFQB6wD7AdGKaqO6uWISJTgCkA2dnZeDye6AYdwA0Lb+CrbV9RsLaAAS0HRKzcvLwiwN17yc9P4+KLx3HxxTBzpifkciItPz8/LnXemFmdx4fVe+OWcAk0EFVdKSKzgAdU9QsR8QBXBEqe3u2nAlMBcnJyNB43+YcXDOerbV/xbv67XPKrSyJW7nflywHIze2Hf+O/iopcDjsstHIizRpWxJ7VeXxYvTduSZFAvQYBvvuiA4CEblrbIqMFADOWz+DrDV8zquuoiJR75eGBE95vfwsLFkDLluGVY4wxJjiJeA+0GhHJAjJVdbuIdAe2qGpCNyNVXDfNdlntuOOzO6J6rNNPh7Vr4fzzobw8qocyxhjjlRQJFBgILPHOD/CbT2hZaVn8/qDf7zkLjYRzn/6ac5+uXNZBB8Ff/wqvvw6XXw4VFaGVY4wxJngJl0BF5CVgNpAjIutF5AIqX74tAoaLyL7xirE+LjvgsoiehRaXllNcWv0086qr4Prr4bHHYPJk2L07tHKMMcYEJ+HugarqmXWs/wLoHaNwwtaiSQt+f9DvufE/N0b0Xmgg99wDbdrADTfA8uUwbRr0s1udxhgTFQl3BtpQ+I+/G+mz0JqIuLPQN96AVatg2DC4/34oSei7xcYYk5wsgUaRiAB7z0JnLJ/BV+u/ivpxJ06E776D8ePh2mthyBB4+WVrYGSMMZFkCTRGLjvgMtpmteWPn/8xrHIOH9CBwwd0qHO7rl3hnXdgxgxIS4Mzz4R993UjFxUWBl+OMcaYwCyBxkiLJi245sBreG/5e8zfND/kcqYc0ocph/QJevtjjoGFC+Hf/4ZWreDii91U33KMMcZUZgk0Snz9QP1dPupyWme2DvssdM8xgnwiaEoKnHwyzJkDQ4fC1q0RObwxxjRqlkCjSJBK71tltuKq0Vfx5tI3+fanb0Mq8/THZ3P647MrH0dq2LhqPOIu59ZUjjHGmOBZAo2xK0dfScsmLbnri7vicnyR4M9c+ewzOPxwNzrD00+7sQKtSa8xxgAJ2A+0oWuT1YYrR13JXV/cxaJfFjG4w+CYHr9eCfTTT900Zw488ohblpEBgwfDoEGuVdK++8KAAdCnj1tnjDGNhCXQKFHVPd1YqrrqwKt48MsHue9/9/HsxGdjHFk9Emh5ubuBmpcHK1fC/Plu+uYbmDkTnn9+77apqS6J9u9P3/R0t13PnnunNm2Cv9ZsjDFJwBJoHLRr2o7zhp7HE/Of4C9H/IWOzTvG7Nj1ymHl5S4xpqS4IY369XMj1/vs2gU//ABLlsDSpe515Uo6rVjhRnPw17KlS6TdukGXLtC5s3v1nzp02HuT1hhjEpz9tYqTK0ZdwSNzHmHqvKnceuitQe93/H6dwzqu7xJuUOX4EmhNWrSAESPc5GfWzJnkDh0Ka9bA6tXu1Te/caM7O/355+qnwiLQsSN06gTZ2dC+vZsCzWdnQ9u2kJ5ezxowxpjIsAQaJYG6sfjLaZ/DhL4TeHTuo1w/7noyUoO7f3j2mJ5hxeVLoEGVU1cCre0gbdq4adiwwNuUlbkkummTS6obN+6d/+kn2LLFJdzNm2HHjpqP1bq1S6Rt2kBODjz7rJ3FGmNiwv7SRFHVbixVXTHqCo6bdhxvLX2L0wadFlSZRSVuPL6sjBASm5dqkOWEmkCDkZbmhkvq2rXubUtKYNs2l0y3bNn76pvfvt2NFjFtGvzlL8GVaYwxYbIEGkdH9zmari268tx3zwWdQM97xj3D85WLxoR0TN890KDKiWYCrY+MDHdZt1Onmrd56in47W9twF9jTMxYP9A4Sk1JZfJ+k3l/+fv8nP9zTI5Zr24siZJAg+GLs6wsvnEYYxoNS6BRokFmqXP2P4dyLeelRS+FcIx679LwE6idgRpjYiSmCVREJojIMhFZISI31LDNGhFZKCILRGRuLOOLtJr6gfobmD2QEZ1HMG3htDCOU7/tG2QC9TUcsgRqjImRmCVQEUkFHgGOAQYCZ4rIwBo2H6+qQ1V1ZKzii6dTB57KnI1zWL9zfdSPFVI/0GRgZ6DGmBiLZSOiUcAKVV0FICIvAycC39e1o4j0Ab4ECoA8YB9gOzBMVXcG2H4KMAUgOzsbj8cTmU9QD+vXr6e8rDyoY3cp7ALAfe/cx0ldT6p128HNSgHweDzs2JEOjGX58uV4PBuCimvHjqGkpCjjm+XvKacm+27YQKvSUr6qZ/3l5+fHvM7bL1nCYGDOl19SsHlzTI+dCOJR58bqvbGLZQLtCqzze78eGB1gOwU+EhEFHlfVqaq6UkRmAQ+o6hci4gGuCJQ8AVR1KjAVICcnR3NzcyP4MYLzZvGbpG5JJdhj37P6HhaXL+bh3Idr3c6/tC1b3Gu/fv3Ize0X1HHatHGvt04+su6Nn3gCmjcP+jP4eDyeeu8Ttrw8AA4YPrzmvqcNWFzq3Fi9N3KJ2IhonKoOx13qvUxEDvEuHwQs8s4PAJbFI7j6qKsfqL+JORPxrPGwvWh7rdttKyhhW0F4T0RRDbIcu4RrjDE1imUC3QB093vfzbusElXd4H39BXgDGCUiWUCmqm4Xke7AFlVtUM/VOiHnBMq1nE9WfVLrdpe8MI9LXpgX8nF890CDKscSqDHG1CiWCXQO0E9EeolIBnAG8Lb/BiLSTERa+OaBo3BnnQOBJd7NBvjNJ6xgu7H4jOo6ipZNWvLxqo+jFJFj3ViMMSYyYpZAVbUMuBz4EJcAX1XVxQAiMkNEugAdgVki8i3wNfCeqn5A5cu3RcBwEdk3VrGHKphuLD5pKWmM7zmej1d9XO/kW7+Y6pFAy8osgRpjTA1iOpSfqs4AZgRYfqzf2/0DrH/Ob/4LoHdUAoyzo/ocxVvL3mLl9pX0bds33uHYGagxxtQiERsRNVpH9nYtYz9a+VHUjmGXcI0xJjJsMPkoqetxZoH0bduXHq168PGqj7n0gEsDbjP5wB57jxHGUH7+5dTIEqgxxtTIEmgU1acbC7h7pof1Ooy3lr1FhVaQItUvEJywf5cA+9XnGC6BBiqnGkugxhhTI7uEm2Bye+ayrWgbi35ZFHD9xrwiNuYVhX2coMqxBGqMMTWyBJpgDu1xKACfrfks4PqrX1nA1a8sCLl83xloUOVYAjXGmBpZAo2SULui9Gjdg56te+JZ64lsQF7WiMgYYyIj6AQqIj1E5AjvfJZvwANTs/r0A/V3aI9D+Xzt51RoRYQjsgRqjDGRElQCFZELgenA495F3YA3oxRTo3doj0PZUriF7zfX+aCa6LIEaowxNQr2DPQyYCywE0BVlwMdohVUQxBKNxaf3J65QM33QcNhZ6DGGBMZwXZj2a2qJb5LkiKSBmFkiEaivt1YfHq27kn3lt3xrPVw2ajLKq278ODwBmHyJdCgyrEEaowxNQo2gX4mIjcBWSJyJHAp8E70wmrcRITcnrl8sOIDVLXSvdQjBnYMs2yXQIMqxxKoMcbUKNhLuDcAm4GFwEW48WxviVZQxt0H3Vy4mSVbKj94ZuXmfFZuzg+7/KDKsQRqjDE1CiqBqmqFqj6hqqcBU4CvNJqPDGkAwq2emu6D3vT6Qm56faH3GPUv13cG6l9OjSyBGmNMjYJthesRkZYi0haYBzwhIg9GN7TkF2o3FoDebXrTtUVXPltbd0OiUIbyC4olUGOMqVGwl3BbqepO4GTgOVUdDRwevbCM7z6oZ40nos8HbbAJNM17O98SqDEmRoJNoGki0hmYBLwbxXiMn0N7HMrPBT/zw9Yf4hNAMiVQOwM1xsRYsAn0TuBDYIWqzhGR3sDyaAQkIhNEZJmIrBCRG6JxjFgIpx+oz6E93bi4njWesMvyqfcZaFqSPLDHEqgxJsaC+uuoqq8Br/m9XwWcEulgRCQVeAQ4ElgPzBGRt1U15CF5dpbujFR49RZqP1Cffm370bl5ZzxrPVw08iIArjisX3gxeRNoUOWUldkZqDHG1CCoBCoimcAFwCAg07dcVX8T4XhG4c5yV3mP+zJwoojsBr4ECoA8YB9gOzDMe2+2arxTcK2Fkc7CGx+9QZuMNhEOtXYbNm6gtLQUj8cTVjk5WTnMXD6zWjmeDbB9ezowlh9++AGPZ2NQ5W3dOoj8/CzKNizaU05Nxu7ezc+bNrGinp8hPz8/7M9dX1JSwqHAquXL+THGx04E8ahzY/Xe2AV7fe55YClwNO5y7lnAklr3CE1XYJ3f+/XAaFVdKSKzgAdU9QsR8QBXBEqeAKo6FZgKkNI1RafnT+fFk1+MQrg1e7XgVdLz0snNzQ2rnAWZC/B86KH/iP50adGFxRt3ADCoSyt++cVt079/f3Jz+wdVXvv2kJcH2f2H7SmnRiJ069GDbvX8DB6PJ+zPXW9lZQD07tGD3rE+dgKIS50bq/dGLth7oH1V9VagQFWfBY4DRkcvrIAGAb6nTA8AlgWzU9uMtkxbOI33l78ftcACqTqCUKgO7HYgAF+u/xKAO9/5njvfCX2Qed8l3KDKsUZExhhTo2ATaKn3NU9EBgOtiM5g8huA7n7vuwEbRCQLyFTV7SLSHdiiqiXBFNg2oy0D2g/gkvcuoaCkIAohR9ewTsPISM1g9rrZESmvwXZjEXGTJVBjTIwEm0Cnikgb4FbgbeB74C9RiGcO0E9EeolIBnCG93gD2XvJeAD1uHwsCFNPmMraHWu5beZtEQ842pqkNWF45+F8ueHLiJTXYBMouFgtgRpjYiTYofyeVNXtqvqZqvZW1Q6q+likg1HVMuByXJeZJcCrqrqYypdvi4DhIrJvsOWO22ccF424iIe+eoi5G+dGOuyAItGNxWdMtzHM3TiXsoqyyseI9mCKlkCNMaZGwbbCbYLrttLTfx9VvTPSAanqDNxg9f7LnvOb/wKo9zO9/nzEn3l72dtc+M6FzLlwDmkp0e/fGG43Fp+hnYZSXFbMim0rAh8nGkP5qbrJEqgxxgQUbBZ5C9iBGwd3d/TCiZ5Wma34x7H/4JRXT+HB2Q9y7dhr4x1S0AZ3GAzAol8Wcd2Ew8Iqy5dAr5uQU/uGvkRkCdQYYwIKNoF2U9UJUY0kBk7a9yQm7juRW2feynH9j2Ng9sB4hxSUAe0HIAiLflnEqbmnhlWWL4GO6NG29g0tgRpjTK2CbUT0PxEZEtVIYkBEeOy4x2jZpCWTX59MSXlQDXlDEskB4LPSs+jbti+LflnEvLXbmLd2W9hl1lmOJVBjjKlVrQlURBaKyHfAOGC+d4za7/yWJ52OzTsy9YSpfPPTN9z5WcRv4VYSiX6gPv3b9WfFthX85YNl/OWDoLrABtSkCaxYARfcv4hbH5tNaX4NV+QtgRpjTK3quoR7fEyiiLGJ+07k/KHnc8+seziu33GM6T4m3iHVqVfrXnzx4xfkhDki4Z13Qps2MGvrFlps/YGUjmfAsRNg4kSYMAHatXMbWgI1xpha1XUJ92fgJOBaYAKwQVXX+qaoRxdFD014iH1a7cPZb5zNrt274h1OnXq16cXO3TurdWWprx494KGHoPeYjuT3GkLK5LNg1iyYPBmys2HoULj6anjzTbeDJVBjjAmorgT6LDASWAgcA/w16hHFSMsmLXlu4nOszlvNRe9eFNF7luD6gUaqGwu4M1CAorKiiJQnqSk036ct8vhjsGEDzJ4Nd9wBbdvCo4/C+ee7DTMyInK8mLAEaoyJobou4Q5U1SEAIvIU8HX0Q4qdg3sczJ25d3LLzFsY33M8F464MN4h1ahXG5dAi8uKaZHRIrKFp6TAgQe66dZbobgYvvwSvvsOTg2v1W9MpabuGVTeGGOira4E6hsDF1Uti2SjmERx48E38tnaz7jygysZ3W00+3XcL94hBdS1RVcADhq4kTOHHBp2ebedUEsXnsxMyM11UzKxM1BjTAzVdQl3fxHZ6Z12Afv55kUkfk+qjqAUSeGFk1+gTWYbTnvttIjdD430JeF2TduRlpJGRdqPex5BFs4hBnVpVfujzJKRJVBjTAzVmkBVNVVVW3qnFqqa5jffMlZBRluHZh2Ydso0VmxbwSXvXRKx5BfJM/YUSaFjs458v76CWcu3VDlO/cubtXxLtXKSniVQY0wMRX9A2CSR2zOXO3Lv4NaZt5LbM5ffDv9tvEOqplPzTvzwY2/+Xryccf3ah1XW3z9dDhB2OQklNRX++1+YNAlatQp+Sk+Pd+TGmCRkCdTPjeNu5PO1n3PF+1cwquuohLsf2rlFZ5ZsjN7oSUnvnHPg1Vdd46cdO9xUFESr5awsaNkSWrSA5s3d1KxZ4Pna1vnmmzZ195FTgh3oyxiTjCyB+klNSeWFk19g6GNDOe2105h74VxaNAmtxWskH2fm06lZJ76N4vCDSe///s9N/kpL9ybTuqaCAsjPd9P27bBu3d73BQWwu57PUWjSxCXTrKz6TbXtk5npyq0ypeXnux8LTZpY4jYmRiyBVtGhWQdeOuUlDnvuMC5+72JeOOmFkO9lRrIfKLhLuG783mg/CLQBSU+H9u3dFK7SUpdI/RNt1fldu6Cw0CWz2qbt22HjxsDrQjDO/01aWsAkG9aUnu76BAd6rW1dTdtYkjcNgCXQAA7teeie/qG5PXITpn9op+adgF2UlJfWua2JgvR0aN3aTdGi6s50a0q8xcVu/e7dleZXLF5M3+7d966rayoqgry82repqIje50xJCS0RB9o2Lc1NkZqvxz5pu3a5H02+5ampobXqM0kpZglURCYADwOpwJOqem8N260BdgHlQJmqjoxVjP58/UN990P377R/PMKoJLtZNlvT7+Giw44Ou6w/nZz0D9dpmETcZdrMTDdocZDWezz0jXS/3bKyvcm0tBRKStyr/3xNr5HeprAw8DZlZW6+rGzv5HsfA+MCLawpEdcnmaemVt7P/30487EsqxFcZYhJAhWRVOAR4EhgPTBHRN5W1e9r2GW8qsa1j4Wvf+iwx4cxafqket8PjXQ/UIDsptmUpWygSZO8sMvqk908/IBMw+b7Y9isWbwjqT9Vdwbtn1zDma9h3fIlS+jXs2fkyi0ocO/Ly91732uw81H4uxMykcgn9laJ1Xc9Vmego4AVqroKQEReBk4EakqglYhIH+BLoADIA/YBtgPDVLXagA4iMgWYApCdnY3H4wk58Ot6X8c1317DxKcncuuAW4Peb9NPmygpKQnr2FWtKVhDVvkonv94AdJf2LYtAziIH374AY9nY73K+uYX9wt9WIfIfwXy8/Mj+rlN3azOI8z3B7sO+T16sKF5Av0YrahAKiqQ8vK9r+Xl4H2turym+aC2r7pP1XV1HaOWsqSsDNm9u9KylOJimq9eHe8ariRWCbQrsM7v/XpgdA3bKvCRiCjwuKpOVdWVIjILeEBVvxARD3BFoOQJoKpTgakAOTk5mhvGpa1cctnVdhe3zryViw65iEmDJgW13/M7nqdJYRPCOXZVfbcPoOVHFSxKb0/ulFx++skt79+/P7m5/etV1qOPzwbg6kmRf5Sbx+OJ6Oc2dbM6jw+r9xjauTPhzkAT8SL1OFUdjnv6y2Uicoh3+SBgkXd+ABD6U6Xr6YZxN3BAlwO49L1L+Tn/51gdtpp2TdvB5oHs2OaekJJIV2uMMSaqWraEzp3jHUUlUUugInKZiCwQkQXAJqC73+puwIZA+6nqBu/rL8AbwCgRyQIyVXW7iHQHtqhqzDpEpqWk8a+J/yK/JD/oof4i/TgzgKwmaaSlK1kplX+FWaM/Y0yjkJMT7wgqiVoCVdVHVHWoqg4FvgL6iUgvEckAzgDerrqPiDQTkRa+eeAo3FnnQGCJd7MBfvMxMzB7IH8c/0feWPoGLy96OdaH36NJhlBaahnTGNMIHXtsvCOoJCaXcFW1DLgc+BCX/F5V1cUAIjJDRLp4N+0IzBKRb3HPHn1PVT+g8uXbImC4iOwbi9j9XTPmGg7ocgDXfHQNO4p3xPrwgOv6VmKDERljGqNrr413BJXErB+oqs4AZgRYfqzf/CqgWodLVX3Ob/4LoHeUwqxVakoq/zzun4x6YhR/8PyBByc8WOO20RjKD2BIwVC+jsBjzR88fWj4hRhjTCOWiI2IEtrILiO5aMRF/P3rv7Pw54W1bhuNB5D37JDFT6uywm5A1KV1Fl1aZ0UmKGOMaYQsgYbg7sPvpnVma654/4qoDJhQmx2tNpLaayM7wryC/M63G3nn2/r1HTXGGLOXJdAQtM1qyx/H/5HP1n7GjOXVrkpH1Q8Va2kxbO2ePqCheuHLtbzw5drIBGWMMY2QJdAQ/Xb4b+nbti83/OcGyivKq62P1plphusCys/x645qjDEGS6AhS09N50+H/YlFvyzi+e+eD7hNpPuBwt4EumlTxIs2xhhTD5ZAw3DqwFMZ1XUUt868leKy4pgcs0kT97pmTUwOZ4wxpgaWQMMgItxz+D2s37meJ+c/GZNjpqa6px2tXGlD+RljTDxZAg3T+J7jOXifg7l31r3sLtu9Z7miUenG8ujkEXRZPYKVK/cuC+Uwj04ewaOTR0QuMGOMaWQsgYZJRLjt0NvYsGsDzyx4JurHa9ssg/49Miol0FDLadssIzJBGWNMI2QJNAIO73U4Y7qN4Z5Z91BSHt1x9l6buw7tuY5166CoKLxyXpu7ru4NjTHGBGQJNAJEhNsPvZ0fd/zIswueBaLXjWX6vPVsylyPKnz7bXjlTJ+3PnKBGWNMI2MJNEKO6nMUo7qO4k+z/kRpeSkQnW4sAC1auNd586JSvDHGmCBYAo0QEeG2Q25jTd4api2cFtVjNWkCHTrA3LlRPYwxxphaWAKNoGP7HcvQTkO5Z9Y9lGv10Yki6aCDYObMqB7CGGNMLSyBRpCIcNO4m1i2dRkfrvgwqseaMAFKS6N6CGOMMbWI2fNAG4uTB5xMTrsclm1dRqvMVhEv/1/njwJgc5iDyfvKMcYYE5qEOwMVkadF5BcRWRTvWEKRmpLKDeNuiFr5WRmpZGWkss8+0Nv7WPFQGvz6yjHGGBOahEugwL+ACfEOIhxnDTmLfVrtE5VWuM/PXsPzs9cAcMEFbtmqVeGVY4wxpv4S7hKuqn4uIj39l4lIH+BLoADIA/YBtgPDVHVn1TJEZAowBSA7OxuPxxPdoAO4puc1bN69OeLHfuErN3pC991rGD48hQkT+jFo0Do8nsKQy4m0/Pz8uNR5Y2Z1Hh9W742bRKvDfzi8CfRdVR3st+wN4AFV/UJEPMAVqrqwrrJycnJ02bJlUYs11k5/fDYAr1w0JiHKCcTj8ZCbmxvxck3NrM7jw+o99kRknqqOjHcckJiXcGsyCPDdFx0ANJysaIwxJunEPYGKyGUissA7dalhmywgU1W3i0h3YIuqRnfQWWOMMaYWcb8HqqqPAI/UsdlAYIl3foDfvDHGGBMXCXcPVEReAnKB9sDPwO1AKbC/qv6fiBwMPAscq6pLgyivDNhd13aNVCZQHIVy04CyKJRramZ1Hh9W77HXRFXjfvIHCZhAI01E5ibKDedEIyLlqhrxzqBW57FndR4fVu+xl0h1Hvd7oMYYY0wysgRqjDHGhKAxJNCp8Q4ggc2JUrlW57FndR4fVu+xlzB13uDvgRpjjDHR0BjOQI0xxpiIswRqjDHGhMASaAMgIk1EpEJEAvZ3FZF3vesrRCTfu+wfgbYXkc9EZEuVZWUiclt0ojfGmORkCbRhmAcEfByLiJwLHAsMVdUUkvxRccYYkygsgSY5ETkWyAGeq2GTe4DZqvodgKrOClDGH7xnp2fVcaxX/M5kVUSsBZoxptGyBJr8pgN/ACpqWN8W6OW9DFsuIv/yXyki9wK3Aiep6ovexe38EmUFkAqgqqeraor3TLYImB/5j2OMMcnBEmgSE5FpQJGq3l3bZkAb73QmcK6IDPGuywCuA45R1bf89tnqS5TeZFle5bhLgDJVHRGpz2KMMcnGEmhyOwRo672UehmQISK7qmxTAMxR1V2q+ipu4OtTvOvKAQXODfaAIvI40B932dgYYxotS6BJTFW7qaqoquAeCVeiqi2qbPY2MBRAREbjnh7xrnddOTAeOFNE/lHX8UTkJGAKcLqqborMpzDGmORkCbQBEpE1IvKK9+35QJH3XuZs4ANVnevbVlU/B04CLhWRP9ZR9F+9r6/W1m3GGGMaAxvKzxhjjAmBnYEaY4wxIbAEaowxxoTAEqgxxhgTAkugxhhjTAgsgRpjjDEhsARqjDHGhMASqDHGGBMCS6DGGGNMCCyBGmOMMSGwBGqMMcaEwBKoMcYYEwJLoMYYY0wILIEaY4wxIUiLdwDR1rp1a+3bt2+8w2hUCgoKaNasWbzDaFSszuPD6j325s2bt0VVs+MdBzSCBNqxY0fmzp1b94ZJ4uLn5wHw2NkjEqKcQDweD7m5uREv19TM6jw+rN5jT0TWxjsGnwafQBua7YUlCVWOMcY0VnYP1BhjjAmBJdAkUlxawvebVrKrqCjeoRhjTKNnl3CTyH/XfMXmH/qwq/1P8Q7FGGMaPUugSWR76c8UrxvIPm0qwi5rbN/2EYjIGGMaL0ugSaSotIgd37Sld+9uYZd15eH9IhCRMcY0XnYPNIkUlxVD5g4Kd9nvHmOMiTdLoEmkuKyYDhPWsbLzd2GXde7TX3Pu019HICpjjGmc7FQmiRSXFSPp5ZQT/j3Q4tLyCERkjDGNl52BJpHismKQCrRC4h2KMcY0epZAk4gvgVaEfwJqjDEmTJZAk0hxWTEiagnUGGMSgN0DTSLFZcXs3lpG05IOYZd1+IDwyzDGmMbMEmgSKS4rZvfG3ZRu6hN2WVMOCb8MY4xpzOwSbhIpKisiLaOM4uJ4R2KMMcYSaBIpLium5ZBmpB89O+yyTn98Nqc/Hn45xhjTWFkCTSLFZcVIijUiMsaYRGAJNIm4BAqqUG7jIBhjTFwlZCMiEckBXvFb1Bu4DWgNXAhs9i6/SVVnxDa6+CkuKyZFFIDdu6Fp0zgHZIwxjVhCJlBVXQYMBRCRVGAD8AZwPvCgqt4fv+jix3cGCpZAjTEm3hIygVZxOLBSVdeKNO4h7IrLiskqLWLz0s7s3h1eWcfv1zkyQRljTCOVDAn0DOAlv/eXi8g5wFzg/1R1e9UdRGQKMAUgOzsbj8cTizijLi8/jzY7N5H/TU88ni/p1Cn0/izdva8ez5qIxOYvPz+/wdR5srA6jw+r98ZNVDXeMdRIRDKAjcAgVf1ZRDoCWwAF/gh0VtXf1FZGTk6OLlu2LPrBxkCXv3ah/6Y7+fzh81myKJWcnNDLKipxrZCyMlIjFN1eHo+H3NzciJdramZ1Hh9W77EnIvNUdWS844DEb4V7DDBfVX8GUNWfVbVcVSuAJ4BRcY0uxorKivglrR0dTvs67Eu45z3zNec9Y88DNcaYUCV6Aj0Tv8u3IuJ/4+4kYFHMI4qj4rJiUrz/YjYakTHGxFfC3gMVkWbAkcBFfov/IiJDcZdw11RZ16CpaqUEGu4ZqDHGmPAkbAJV1QKgXZVlZ8cpnLgrKS8BIDXFtUS2BGqMMfGV6JdwjVdxmbtmm5rqEqhdwjXGmPhK2DNQU5kvgfZtV8bShd3CPgM9dUS3CERljDGNlyXQJOFLoPt1hVcWdQ87gZ42snvdGxljjKmRXcJNEnsu4aalkZJVEnYC3VZQwraCkghEZowxjZMl0CThS6AzlqSRPXFe2PdAL3lhHpe8MC8CkRljTONkCTRJFJUVAdYK1xhjEoUl0CRRtRWuJVBjjIkvS6BJwpdA01LdP5l1YzHGmPiyBJokfAk0RVIQsTNQY4yJN+vGkiR8CfSEoa358umu7O4UXnmTD+wRgaiMMabxsgSaJIpKXSOiCUOyuWVdl7Av4Z6wf5cIRGWMMY2XXcJNEoWlhQDsKkylSZuisC/hbswrYmNeUQQiM8aYxskSaJLwdWO54+21pB+8IOwEevUrC7j6lQXhB2aMMY2UJdAk4TsDTZEUUlKsFa4xxsRb1BOoiJwgIpaow1RUWkR6SjqCkJJirXCNMSbeYpHYTgeWi8hfRGTfGByvQSosLaRpelMAS6DGGJMAop5AVXUyMAxYCfxLRGaLyBQRaRHtYzckRWVFexKo2CVcY4yJu5hcWlXVncB04GWgM3ASMF9ErojF8RuCwtJCstKzuPDg3rTf3DvsM9ALD+7NhQf3jkxwxhjTCEW9H6iI/Ao4H+gLPAeMUtVfRKQp8D3w9xr2WwPsAsqBMlUdKSJtgVeAnsAaYJKqbo/2Z0gEvjPQIwZ25O8l8GOYCfSIgR0jE5gxxjRSsTgDPQV4UFWHqOp9qvoLgKoWAhfUse94VR2qqiO9728A/qOq/YD/eN83CoWlhWSlZbFycz4VzfPDvoS7cnM+KzfnRyY4Y4xphGJxD/RcVf28hnX/qWdxJwLPeuefBSaGEVpSKSp1Z6A3vb6QHzssDPsS7k2vL+Sm1xdGJjhjjGmEYnEJ90DcZdoBQAaQChSoass6dlXgIxFR4HFVnQp0VNVN3vU/AQGvQ4rIFGAKQHZ2Nh6PJ+zPEW8/b/uZlmktySvKo7SsKbt27cbjmR1yeXneUYiiUTf5+fkNos6TidV5fFi9N26xGAv3H8AZwGvASOAcoH8Q+41T1Q0i0gH4WESW+q9UVfUm12q8yXYqQE5Ojubm5oYRfmJIW5JGt3bdSNvems1bQLUJ4XyuR5e55JubOyZCEe7l8XjCis3Un9V5fFi9N26xaoW7AkhV1XJVfQaYEMQ+G7yvvwBvAKOAn0WkM4D39ZfoRZ1YfPdAAVLEurEYY0y8xSKBFopIBrDAO5jC1XUdV0Sa+fqJikgz4ChgEfA2cK53s3OBt6IXdmLJL8mnRYbrOmsDKRhjTPzF4hLu2bj7npcDVwPdcS1za9MReENEwMU4TVU/EJE5wKsicgGwFpgUtagTzI7iHbRs0pKzDuvH8y/AnDIoL4fU1NDKu+KwfpEN0BhjGpmoJ1BVXeudLQLuCHKfVcD+AZZvBQ6PXHTJYXfZbnaX76ZVZivG9WvPf5t6l++Gpk1DK3Ncv/aRC9AYYxqhqCVQEVmIa0kbkKruF61jNzS7SnYB0LJJSxZv3MHOVIBWYSXQxRt3ADCoS6vIBGmMMY1MNM9Aj49i2Y3Kzt07AZdA73znezbuAhgT1n3QO9/5HoBXLop8K1xjjGkMopZA/S7dIiI9gH6q+omIZEXzuA3RjmJ3ttiyies6m+JtgmUtcY0xJn5i8TzQC3EDyT/uXdQNeDPax21I/M9AYW8CtZa4xhgTP7HoxnIZMBbYCaCqy4EOMThug7G92I2X36qJu1/pS6CFhfGKyBhjTCwS6G5VLfG9EZE0amlcZKrbXLAZgA7N3O+ONO8F8F274hWRMcaYWNyL/ExEbgKyRORI4FLgnRgct8HYXOgSaHazbK6b0Izvv4ePgPwwHqZy3YScyARnjDGNVCwS6A24x5YtBC4CZgBPxuC4Dcbmgs00z2hOZlomI3pkklXglodzBjqiR9vIBGeMMY1ULAZSqBCRN4E3VXVztI/XEG0u3Ex202wA5q3dxs/5AG3DSqDz1m4DLJEaY0yoojmQggC344bwS/EuKwf+rqp3Ruu4DdHGXRvp1LwTAH/5YBllZQBjwkqgf/lgGWD9QI0xJlTRbER0Na717QGq2lZV2wKjgbHeAeVNkFbnraZXm1573vvGvw3nHqgxxpjwRDOBng2cqaqrfQu8Y9xOxj0T1AShrKKMdTvW0av13gQqApmZ1grXGGPiKZoJNF1Vt1Rd6L0Pmh7F4zYoq7avolzL6dOmT6XlzZtbAjXGmHiKZgItCXGd8TN341wAhnceXml5ixaWQI0xJp6i2Qp3fxHZGWC5AJlRPG6D8p9V/6F5RnMGdRgEwG0nDATg1/8M7x6orxxjjDGhieZg8iE+6rlxKyot4jdv/4ZPVn1CTrscvlz/JZP3m0xaivun8j1+rHlz2Bno50mQ7DFmxhgTnlgM5Wfq4bqPr+OVRa9wRO8j2F2+m2Gdh3Hn+L29fmYt38Ks5Vto0wa2bw/9OL5yjDHGhMYeK5ZA1uSt4bF5j3HRiIt49PhHA27z90+XA9C+fXu++y70Y/nKGdevfeiFGGNMI5aQZ6Ai0l1EZorI9yKyWER+513+BxHZICILvNOx8Y41kp6a/xQVWsFNB99U57bt28MWO4E0xpi4SdQz0DLg/1R1voi0AOaJyMfedQ+q6v1xjC0qKrSC5797niN7H0n3Vt3r3L59eygqco80a9o0BgEaY4ypJCHPQFV1k6rO987vApYAXeMbVXR9sfYL1u5Yyzn7BzfGRLt27nXr1igGZYwxpkYJmUD9iUhPYBjwlXfR5SLynYg8LSJt4hdZZD3/3fM0z2jOxH0nBrV9e++tS7uMa4wx8SGqiftsaxFpDnwG3K2qr4tIR2AL7oHcfwQ6q+pvAuw3BZgCkJ2dPeLVV1+NYdT1V1JRwimzT2FMuzHctG/t9z835VcAsHlVG373u2Hcd9+3jBxZ/+a4vnI6N4/8b6j8/HyaN28e8XJNzazO48PqPfbGjx8/T1VHxjsOSNx7oIhIOvBv4EVVfR1AVX/2W/8E8G6gfVV1KjAVICcnR3Nzc6MebzjeWvoW+WX5XHPENeT2zQ1qnyVL3GvnzvuTaB/P4/GQ6HXe0Fidx4fVe+OWkAnU+yi0p4AlqvqA3/LOqrrJ+/YkYFE84ou0lxa9RPum7Tm81+F1bvvJ9+43xOjuHQFYty60Y/rKOWJgx9AKMMaYRi4hEyjuMWhnAwtFZIF32U3AmSIyFHcJdw1wUTyCi6TtRdt5e9nbnDf0PNJT6x5j/4kvVgFwxEUdadMGfvwxtOPuKccSqDHGhCQhE6iqzsKNmVvVjFjHEm3/WvAvisqKuHD4hfXed599Qk+gxhhjwpPwrXAbsvKKcv45958c1P0ghnUeVu/999kn9Eu4xhhjwmMJNI6e/+55VmxbwdUHXh3S/vvsA2vWQAI3pDbGmAbLEmic5BXncevMWxnZZSSnDDglpDJyctwTWTZtqntbY4wxkZWQ90AburKKMi54+wI27drE9NOm4xodB+fB04fumR8yxL0uWgRdutQvBv9yjDHG1J8l0AgoLS/lzaVvMm3RNL7Z9A2FpYV0btGZAe0HMLzzcIZ3Hs6wTsNo17Qdy7cu56oPr2LG8hk8ePSDjO42ul7H6tI6a8/84MHudeFCOOqo+sXsX44xxpj6swQaps/Xfs5F717E0i1L6d6yO+P2GUerJq1Yv2s9X234ilcWv7Jn25ZNWrJz906apDbhkWMf4dIDLq338d75diMAJ+zfhfbtoXNnWLCg/nH7l2OMMab+LIGGaHvRdq7/5HqemP8EPVv35PVJr/OrnF+RmpJaabuthVv55qdvmL9pPmvz1tK/XX8mDZpE5xadQzruC1+uBfYmvrFj4fPPXUOielwJrlaOMcaY+mnwCVSJbBNVVeXVxa/yuw9+x5bCLVx70LXcfujtNMtoFnD7dk3bcUTvIzii9xERjcMnNxemT3etcXv1isohjDHGBNDgE+jyXctp/qfmDOowiOGdhnNknyM5ovcRtGzSst5lLdm8hGs+uoYPVnzAiM4jeP+s90PqvxlJhx3mXt97Dy6/PK6hGGNMo9LgE2j7Ju359bBfs/CXhby48EUem/cYaSlpjOk2hiN7H8mRfY5kZJeRpKUEroryinI+Xf0pT8x/gunfT6d5RnMenvAwlx1wWbXLtfEwYIBrjfvSS5ZAjTEmlhp8Am2b0ZaHj3kYcK1lZ6+fzfvL3+ejVR9xu+d2bvPcRqsmrRjScQg57XJol9WO9NR0thZuZVXeKr5a/xU7du+gVZNW3DDuBq4Zcw3tm7aP86eq7Kyz4IYbYPFiGDQo3tEYY0zjkNDPA42EnJwcXbZsWcB1Wwq38OnqT5m5eiaLNy9m2dZl7Ny9k91lu2mb1ZZuLbsxuutojuxzJMf3P57MtMwYR1/dtoISANo2y9izbOtW6NEDTjjBnYmGWk6k2COeYs/qPD6s3mNPROx5oImgfdP2TBo0iUmDJlVarqr1GtwglgIlvHbt4Mor4Z57YMoUGD8+tHKMMcYEz4byCyBRkyfAa3PX8drc6iPI33IL9O0L55wD69eHXo4xxpjgWAJNMtPnrWf6vOoZsmlT151lxw448khYtSq0cowxxgTHEmgDsv/+rjvLzz/DAQfAs8/ak1qMMSZaLIE2MAcfDF99BfvuC+edB8OGwQsvQEFBvCMzxpiGxRJoA9SvH3zxhTsDLSmBs8+GDh1g0iR4/HGooVGyMcaYemjUrXAbspQU16Bo8mQ3Vu7LL8Nbb8Frr7n1Ayfn0VPWssPzLK1G9nNZt2dPNzp9u3auAGOMMTVKugQqIhOAh4FU4ElVvTfOIcXUv84fVa/tU1LceLm5ufDoo7B8OXg8sOOtFHL/+yItUr6Hl7dV3ik9HTp12ptMW7euPLVp416bNXOtl7KyKr2m5efD7t2QkVG/Ee6NMSaJJFUCFZFU4BHgSGA9MEdE3lbV7+MbWexkZYQ+fKAI9O/vJqYcDRztVmzd6jLrunWwaRNs3OheN22CzZvdurw82L4dysvrPM4430xKikuqTZq4pJyR4V6Dmfe9pqa6clJTK88HWlbf9b5JpOaprvXBbBOJY/h+iPj/IPGbb758ObRqVXl5DdvWOR+L/RL5GPWYT8vPd/83YnCsgPORLsvUS1IlUGAUsEJVVwGIyMvAiUCjSaDPz14DwNljekaunHbt3HTggbXvpOpaI/mSaWGhm4qKKr2u+O47+nbtund9SQmUlrop0HxJiTtjzc+vvr6iwiXt8vK984GW+eYbabPjhBiWpREaV/cmySlePwiSLNEnWwLtCvj3/l8PjK66kYhMAaYAZGdn4/F4YhJcLLzwVREA3XevSYhyEHGXb5s23bMov2tX1jdvHl65oVKFigrEOwWcV4XycvequufVN4mvnADrq62DPYk74LpIHcO3rIb54uJiMjMzg9rWp9KfJN/y+mxbw34R3dZvPlrbhrP97t27aZKREXh7PxJEmeFsH4tjJMz206cH3D8eki2BBkVVpwJTwY2F25DGqnx02WwAcnPHJEQ5gdj4oLHn8Xg4wOo85uy7HgcJdDaabE0tNwDd/d538y4zxhhjYirZEugcoJ+I9BKRDOAM4O04x2SMMaYRSqpLuKpaJiKXAx/iurE8raqL4xyWMcaYRqjBPw9URHYBNvZObLUHtsQ7iEbG6jw+rN5jL0dVW8Q7CEiyM9AQLUuUh682FiIy1+o8tqzO48PqPfZEZG68Y/BJtnugxhhjTEKwBGqMMcaEoDEk0KnxDqARsjqPPavz+LB6j72EqfMG34jIGGOMiYbGcAZqjDHGRJwlUGOMMSYESZlARWSCiCwTkRUicoN32RoRaR9g2/wq788TkX/EKtaGRERai8h0EVkqIktEZIyIeESkWjP+qv8eIpIrIu/GNuLkIyJPi8gvIrLIb9l93jr/TkTeEJHW3uUBv8si8gcR+X2VZQH/f5ga63yoiHwpIgtEZK6IjPIur1a33uX/EpFTqyzLr7qdcUSku4jMFJHvRWSxiPyuyvr/ExH1fWcTtd6TLoH6PRP0GGAgcKaIDIxvVI3Gw8AHqrovsD+wJM7xNET/AiZUWfYxMFhV9wN+AG6MdVAN3L+oXud/Ae5Q1aHAbd73JnLKgP9T1YHAgcBlvr/jItIdOAr4MY7xBSXpEih+zwRV1RLA90xQAEQkS0TeF5EL6yrI++vSNxWJyKFRjDupiUgr4BDgKQBVLVHVPL/1Kd5fg3cFUdYMv3rfISLnRi3wJKOqnwPbqiz7SFXLvG+/xD1EoRIROU5EZtd1likiF/vV/WoRmRmx4JNUoDoHFGjpnW8FbKy6n4hc6P1bk1Vb+SJyp1+dbxCRZyISeBJT1U2qOt87vwv3Y7yrd/WDwHW4f4NqEqnek3EkotqeCdocl1CfU9XnvMuyRGSB3/Zt8Q5A7/11iYicgPsH+1/Uok5+vYDNwDMisj8wD/BddkkDXgQWqerdfvvMFJFy73xzYCmAqh4LICIjgGeAN6MefcPxG+AV/wUichJwDXCsqm4X97inq0Vkst9mXQBU9THgMRFJBz4FHohJ1MnnKuBDEbkfd6JxkP9K75jcRwITVXW3t87vE5FbqhakqrcBt3kvvX8B2C0kPyLSExgGfCUiJwIbVPVbCfDYskSr92RMoLV5C/iLqr7ot6zIlyjB3TcCRvq97wfcB4xX1dIYxZmM0oDhwBWq+pWIPAzc4F33OPBqleQJrk63gLsHCuy5h+E9U3oemKSqO6Ice4MgIjfjLn35f78Pw32fj1LVnX7LH1TV+/32XVOluIeBT1X1nSiFm+wuAa5W1X+LyCTclZcjvOvOwf2In1jlb8a1qrrnac/+9+LE/aV/AXhAVedFPfokISLNgX/jfrCUATfhLt8GknD1noyXcGt7Juh/gQkS6KdLAN5/vFeBC1V1U0SjbHjWA+tV9Svv++m4hAruzH28iGQGU5D3PvbLwJ2quqiu7c2eH37HA2dp5c7bK4EWQP96ltUDuCOCITY05wKve+dfw9068lkI9CTApfRa/AH3/6fRX7718V4F+Tfwoqq+DvTBXen61vuDrxswX0Q6eXdJuHpPxgRa2zNBbwO24xoZBeNp4BlV/SLyYTYsqvoTsE5EcryLDge+984/BcwAXhWRYK5q3At8p6ovRz7ShkdEJuBuMfxKVQurrF4LnAI8JyKDgihrBO5KwGRVrYh4sA3HRsDXJuIwYLnfum+Ai4C3RaRLXQV5bxEdAVwZ6SCTlfck5ylgiao+AKCqC1W1g6r2VNWeuB/tw71/eyAB6z3pEqi3MYXvmaBLcJcO/Z8J+jvcfc9aW82JSA/gVOA3fjea7akKtbsCeFFEvgOGAn/yrfD+J/gGeF5E6vpe/R44yq/efxWtgJONiLwEzAZyRGS9iFyAu3fTAvjYW1+P+e+jqkuBs4DXRKRPHYe4HNcOYKa3rCcj/ymSSw11fiHwVxH5Fvc9n+K/j6rOwn2P36ur4Rbu/nRX4Gtvnd8Z8Q+RfMYCZwOH+f0dOLaunRKt3m0oP2OMMSYESXcGaowxxiQCS6DGGGNMCCyBGmOMMSGwBGqMMcaEwBKoMcYYE4KGNhKRMQnJO6ThQr9FE1V1TZzCMcZEgHVjMSYGRCRfVZvXsE5w/xdtYANjkohdwjUmDkSkp7hn2j4HLAK6i8i1IjJH3HM/7/Db9mYR+UFEZonIS+J9LqL4PYtVRNr7xrsVkVRxzxD1lXWRd3mudx/fM11f9A17KSIHiMj/RORbEflaRFqIyOciMtQvjlniHiRgjMEu4RoTK/5PBVoNXA30A85V1S9F5Cjv+1GA4IYrOwQowA1XORT3/3U+7kk4tbkA2KGqB4hIE+C/IvKRd90wYBBuqLr/AmNF5GvcE15OV9U5ItISKMINtXYecJWI9AcyVfXb8KrBmIbDEqgxsVH1qUA9gbWq+qV30VHe6Rvv++a4hNoCeMM3Bq6I+MZ9rs1RwH4icqr3fStvWSXA16q63lvWAtzg3DuATao6B8D3VBcReQ24VUSuxT1G7V/1/MzGNGiWQI2JnwK/eQHuUdXH/TcQkatq2b+Mvbdh/J+EI7jHzn1YpaxcYLffonJq+RugqoUi8jHugfWTgBG1xGJMo2P3QI1JDB/iHmzQHEBEuopIB+BzYKKIZIlIC+AEv33WsDepnVqlrEu8j4tCRPqLSLNajr0M6CwiB3i3b+H3VJ0ngb8Bc1R1e1if0JgGxs5AjUkAqvqRiAwAZnvb9eTjHjk2X0ReAb4FfsE9zs/nftwj5KYA7/ktfxJ3aXa+t5HQZmBiLccuEZHTgb+LSBbu/ucRQL6qzhORnYA9x9KYKqwbizFJRET+gEts98foeF0AD7CvdbMxpjK7hGuMCUhEzgG+Am625GlMdXYGaowxxoTAzkCNMcaYEFgCNcYYY0JgCdQYY4wJgSVQY4wxJgSWQI0xxpgQ/D8+C/V8h/pXGwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import itertools\n",
    "for filter_type, A_s_target in itertools.product(['fir', 'iir'], [20, 40, 70]):\n",
    "    # 构造滤波器\n",
    "    b, a, bands = build_filter(48e3, filter_type, A_s_target=A_s_target)\n",
    "    # 计算滤波器长度\n",
    "    N = filter_len(b, a)\n",
    "    # 分析滤波器\n",
    "    R_p, A_s, Avg_gd = analyze_filter(bands, b=b, a=a, show_plot=True, samples_per_band=512,\n",
    "                                      fs=48e3, tick_format=tick_format_to_khz, amp_in_dB=True)\n",
    "    print('N = %d, R_p = %f, A_s = %f' % (N, R_p, A_s))\n",
    "    print(f'Avg_gd = {Avg_gd}')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['data\\\\p232_045.48KHz-fir-20.wav', 'data\\\\p232_045.48KHz.wav', '17', '0', '59384', '25.521219014702158']\n",
      "['data\\\\p232_045.48KHz-fir-40.wav', 'data\\\\p232_045.48KHz.wav', '45', '0', '59356', '42.732012061511504']\n",
      "['data\\\\p232_045.48KHz-fir-70.wav', 'data\\\\p232_045.48KHz.wav', '86', '0', '59315', '27.227505193204877']\n",
      "['data\\\\p232_045.48KHz-iir-20.wav', 'data\\\\p232_045.48KHz.wav', '6', '0', '59395', '13.30819039986972']\n",
      "['data\\\\p232_045.48KHz-iir-40.wav', 'data\\\\p232_045.48KHz.wav', '11', '0', '59390', '10.878315730237622']\n",
      "['data\\\\p232_045.48KHz-iir-70.wav', 'data\\\\p232_045.48KHz.wav', '18', '0', '59383', '6.3830782596087365']\n",
      "['data\\\\p232_045.48KHz-nearest.wav', 'data\\\\p232_045.48KHz.wav', '0', '0', '59401', '16.355665466416305']\n",
      "['data\\\\p232_045.48KHz-linear.wav', 'data\\\\p232_045.48KHz.wav', '0', '0', '59401', '23.51383340524194']\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3IB++fBROHwvJDaIdjTHlTQYmAlOryPOlqg6JTDgmUdkz1MQTK3BHUY8ePVi8eHG0wzCx5vOH4esnoGlb6HdNtKMxpgxV/UJEOkY7DrBOk4nOnqEmnlinSWNijdcdTq/YW3W+ePLv0+G/w6MdhYmcE0VkiYh8KCLRG9LCGGNihNVwGxPr9vzivA7tHe1Iam/L4mhHYCJnEXC4qu4VkcHAO0DXQBlF5FrgWoAOHTpELEBjjIk0q+E2JsbsKSxyf7o13E8eB8+fHsWIQuiZE+Ff1tO+PlPVPFXd6y7PBFJEpGUleZ9X1SxVzWrVqlVE4zTGmEgKSYFbRCaJyFYRWeaX1lxEZovIavdnMzddRORJEVkjIj+ISB+/fa52868Wkav90vuKyFJ3nyfFGu6ZemzFFmfK5JXZm2HDN+CtZibIeLJ1Oeyx4dvqMxFpU3KPFpH+OM+Z3LCeM5wHN8aYEAhVDfdkYFC5tNuBT1S1K/CJuw5wHs7Xi11xvkp8FpwCOnAvcDzQH7i3pJDu5vmj337lz2VM/bB6NqnFewHIWv8s/Oe80m0/vg3L3opSYCFWkAd7t0U7ClMLIvIq8C1wlIjkiMgoEbleRK53s1wELBORJcCTwKVq4/cZYxJcSArcqvoFsKNc8jBgirs8BfitX/pUdXwHZIpIW+BcYLaq7lDVncBsYJC7ramqfufetKf6HctEwZw5cxgyxEb8Crndm+C/F9Er98PA298YCdN/X7dz7N8J31ScCjninugJE46IdhSmFlR1hKq2VdUUVW2nqi+p6nOq+py7faKqdlfVXqp6gqp+E/aYwn0CY0LInqGJKZxtuFur6hZ3+Regtbt8GLDRL1+Om1ZVek6AdGPqFW/BnuAyjsuEaVdWmy2g9/8EH91Vu31Daf/OaEdgjDHGRExERilRVRWRsFdC1KjH+4e3wy9LQxtAmx5w3kOVbp4/fz6jRo1i3rx5FBcX079/f6ZNm8axx5adrG3OnDlMmDCB999/H4AxY8aQlZXFyJEj6dixI8OHD+fDDz+kYcOGvPLKKxxxxBG88cYb3HfffSQlJZGRkcEXX3xBdnY2V155Jfn5+QBMnDiRk046iTlz5nDvvfeSmZnJ0qVLGT58OD169OCJJ55g//79vPPOO3Tp0oWRI0eSlpbGggULyMvL49FHH63wX3l+fj433XQTy5Ytw+v1Mm7cOIYNGxba65og8vYX0iKonAorZtTuJFbQNcbUVRSen2DPUBPfwlng/lVE2qrqFrdZyFY3fRPQ3i9fOzdtEzCgXPocN71dgPwVqOrzwPMAWVlZMfctY79+/Rg6dCh33303+/fv54orrqhwowhGRkYGS5cuZerUqdxyyy28//77jB8/nlmzZnHYYYexa9cuAA455BBmz55NWloaq1evZsSIESxYsACAJUuWsGLFCpo3b07nzp255pprmDdvHk888QRPPfUUjz/+OADZ2dnMmzePtWvXcsYZZ7BmzZoysTzwwAOceeaZTJo0iV27dtG/f38GDhxIenp6na5VQlJfzfJ/9iAcfT607VmTk9TsHMbEAes0mRjsGWriWTgL3DOAq4GH3J/v+qWPEZHXcDpI7nYL5bOAf/h1lDwHuENVd4hInoicAMwFrgKeqnN01fwnHS733HMP/fr1Iy0tjSeffLJWxxgxYsTBn7feeisAJ598MiNHjmT48OFccMEFAHi9XsaMGcPixYtJSkpi1apVB4/Rr18/2rZtC0CXLl0455xzAGfmrs8+++xgvuHDh+PxeOjatSudO3fmp59+KhPLRx99xIwZM5gwYQIABQUF/PzzzxxzjA39VmO+Gha4P38IvpwA94R1AIjwylkAi6bCb54AG3zI1JTYyLZREaXnJ9gz1MSvkBS43V7rA4CWIpKDM9rIQ8DrIjIK2ACUTDM3ExgMrAH2Ab8HcAvW9wPz3XzjVbWkI+ZonJFQGgIfuq+4lJuby969e/F6vRQUFAT8LzY5ORmfX+GroKCgzHb/URFLlp977jnmzp3LBx98QN++fVm4cCFPPfUUrVu3ZsmSJfh8PtLS0g7ul5qaenDZ4/EcXPd4PBQVFQU8V6B1VeXNN9/kqKOOCvoamMCkNgM51HCfwiIfqdVni5wpQ8GbD+c+AKlNoh2NMSbG2TPUxKtQjVISqNd6rqqepapdVXVgSeHZHZ3kRlXtoqo9VHWB33EmqeoR7us/fukLVPVYd58x8TzE1HXXXcf999/P5ZdfztixYwPmOfzww1m+fDmFhYXs2rWLTz75pMz2adOmHfx54oknArB27VqOP/54xo8fT6tWrdi4cSO7d++mbdu2eDweXn75ZYqLi2sc7xtvvIHP52Pt2rWsW7euwk3h3HPP5amnnqLkT/L999/X+BxxbfNip9DrK4ZPH4CHO9X6UFrTJiUAnqQaZV+7dW/NzxFWJR9lq902tVCbz4yJa/YMNfHKpnaPoKlTp5KSksJll11GcXExJ510Ep9++ilnnnlmmXzt27dn+PDhHHvssXTq1InjjjuuzPadO3fSs2dPUlNTefXVVwH4y1/+wurVq1FVzjrrLHr16sXo0aO58MILmTp1KoMGDapVm7AOHTrQv39/8vLyeO6558r8hw/wt7/9jVtuuYWePXvi8/no1KnTwY4q9d7KD+HVS6HzAMj+CnxF1e5SpVoUHopVqEmRW2OtDXfJpD7WnMTUQYy9q02Y2DPUxDOJ48riKmVlZWlJ54YSK1asiPt2UR07dmTBggW0bBlwpuSQGjlyJEOGDOGiiy4KyfHqw/Uv45un4KO7K6aP212rw+V99QJNP/5zjfbJ11TSL50EHU6E9OrHOPnxwdPpXri4VvGF076/bKRRetNohxEzRGShqmZFO45ICnTPrs7u3F/JeOpI8kin6TibwTSc6sv9O16fofXl+se0cRnuz9o9w6u7b1uPE2Nqo4oOjgUHalfT7dmVXeN90qUQpl0Or10WVP5YLGwDHCgKQ9OAA/vgw7FQGGvNaEzIWKdJY0ycsCYlUbR06VKuvLLsBCapqanMnTu30n2ys7PDHFWpyZMnR+xccWd8s0o3+bz7oUEtOgDW5dumnetrv28MkHC04Z77LMx9Dho2gwG3h/74xpiosmeoiSdW4I6iHj16sHjx4miHYWqqmoKxr6bD+7lkbx2+Et/7a+33jQlhaNpW7HV++mre0ckYE/vsGWriScJ9H1df26zHunp13avp3FibnuwA6SvfrtV+9YEnDBPRav52AGwcC2NCo17dx+OIXff6IaEK3GlpaeTm5tqbN8JUldzc3Aq9s+NWNaOR1Gp4vwQXjk+kzH8BgC3Lvw7D0Y1JLPb8jI569/xMYAnVpKRdu3bk5OSwbdu2aIeScNLS0mjXrl20wwiNkqYKldCiAxEKpIa2/lR9nmgJ40Pc5y0M27GNSRT2/IyeevX8TGAJVeBOSUmhU6faT0xiDIAWH6i6i9/21dDq0Jod9JVL6hKSY1wGnD4Wzriz4rZ1c2DqsLqfI0zCWWnWsKh2QzwZY0rZ89OYukmoJiXGhIK3sKDK7fkFtahRXfW/WkZTzucPB07fvjo0xw+TkH5NXXQACvccXPXgg8d6lI6xuuwtWDo9dOczxhhjqmEFbmNqqGh/XpXbd2/dCBvnRyia4GzeXfU/CdEmO9bWeJ+Vv+xh3IwfKxbWpwyBB0u/flVPCuz+uXT79N/Dm6Oc5XWfVzmmujHGGBMKVuA2poaKq5lIpfu3f4KXBkYomgDGZcC3z5RJarTijSgFExzZU/MhEa+aNJfJ32Tza165bxQ2lh2DN7d579KVrStKl+e9AFOHVjmmuokX1pHPGBPbrMBtTE08cCgNPxgT7SiqpV/8s8x65o4lUYokOFpU6Pyj8Pk/q8/sunbfi2SnXYYU7KwynzetVenKgfzS5Q//Wrq8+mPn/O/eGPT5E5WITBKRrSKyrJLtIiJPisgaEflBRPpEOkZjjIk1VuA2pia8+SRvX1F9PqI7duqBQrfWt6QgG+OSf/3BWfjsgaD3GZX8IQBbP3kq4PYCaQjA/sbtD6blrvFr6uM/fON/L3R+fv9/QZ8/gU0GBlWx/Tygq/u6Fng2/CGFYaZSY4wJIStwGxMmazcG2UziwL6QnzvVtw8+uttpoxwHGi2ofZmsbU7gDqcbU7sAoH63uera35vqqeoXwI4qsgwDpqrjOyBTRNpGJjpjjIlNVuA2Jkxk/WdB5du3O0zj2n7zFLxycXiOHWKiNZud86t5Cw4u5+4LvK+4ExSp39Tunryc6g9euNf5ViA/t0YxmYMOAzb6ree4acYYk7CswG1MkPS752qU37u3qkrAUpt+tYkkylj8CnwxodLNa7ft5ZSZZx1cP4rsgPmSfM4ERf4zf25t0b/68z/olg0f6Vx9XlMnInKtiCwQkQV1m1DFOk0aY2JbQk18Y0xdyP/G1ih/UUF+ldu/WvkrufsOwJatdK1LYPXNOzc4P0/7c5lk3b+LHR8/xt75MypUFWhRIZKcWiYtWZ127McvvuNgWoG3qGax7N8J3gJ49GhnfZxNohOETUB7v/V2bloFqvo88DxAVlZWzUvNYm23jTHxIW5quEVkkIisdHu+3x7teIypzrFLH4JxGegn91fY9toDIznl1SMZ9u6xDJs3IgrRxYFynU7l4cNpsfBxennWVcg6a9I4AHxF3oNpKb4DFfIV7q/YXn6blnYqXZE5oOzGhzuWFrZNsGYAV7mjlZwA7FbVLdEOyhhjoikuCtwikgQ8jdP7vRswQkS6RTcqY4IjX5Y2j9j280oYl8Gl3rejGFHsmp/S7+DynpzlQe83aPMzzJzzFbnLS9vNN9aK46Wn5P1cIa2VlNZad86bW2G7KUtEXgW+BY4SkRwRGSUi14vI9W6WmcA6YA3wAjA6bMFEcSQgY4ypiXhpUtIfWKOq6wBE5DWcnvDBP5GDoMVedi/7H5k9zgdPkP+L7NuB750b8VzyMiTFy+V0FXshKSWorL5nTsazdRlFZz9Acrch+LK/xtP7stB+pestgJQ0Z/nnuXBY38qvacmDNsjz+/51DJ49mykePZ+kQ44sPV9Sg+D+1j4fhaSQirf6vAHk/bMnTfdtoFX1WRNaP2/psH25G5bS5KWT0L+sQ9JbVLvv4Dnnl1kvClCf0C+76nb4qb79VW7f/fIVZKx9D19KOp67NrtTyAukNq42vvpCVav8Skad8TAjPKC5NS0xxsS2eCkhBur1fnwoT1Dk9bL2ifM5au9ccCsf17cYQAvvZtJv+ITCpTNoNPNG9p3/NI0+KPss8QDc7xQIFh39Z5of2Exmh240OKQrjV6/JOgY5ncZQ591z5GkFduZLu04krZNU0k7fiSNXzix0mNsaXMGbX8JbnSMQPYdfiaeA3vwFRfRaOv35Ke1pjjrjzTd6sxxkTz7Lph9l/M7vzsab3pbUv68gqIdG+CFASRXMwlJIHv73UTj+YHHUt5z7uN4vHtJ//Ru9p5yF8U/zSRj+/dl8hRJA5K1tPnAttMfotUZN0DRAQo2LiRtyqCDRa+kZ/oRjL1X/I/GR5xI/rcvkT7rTwCkVrNPVZru21CHvRNTx4+vA0Ae6czOQU9T0/kgM6l6RtDayFj7HgAeb36V45sXj/2Zwg0LaDjtIvL+/AsZ6XV595jqWU23MSa2STQn5wiWiFwEDFLVa9z1K4HjVXVMuXzX4ky0QIcOHfpu2BB8IUd9Porva0Gy+KrPbIwxQdqYdSfth9Ssw62ILFTVrDCFFJOysrJ0wYIF1Wf0s3vHNjKePII8GtF0nDUTN8bUQUklSi07x1d3346XGu6ger3Xpce7eDzsuPZ7WrQ+jP17dnBg6bukdexPo0mnB8yv9+5CyjVn8B4oYMfWTTT+4AbSt1RsC7pv9BIaHdIR9fmQ8c3wJaWid2ymcG8uB5a8ifQeQZPGTfF4PPiKvHgecBogFLTswZ7j/0SrD35fejD/N4SvGDxJ7N+Xz9aNq8n49iEysz88uDn/ljWkZ1bSmKGKWro9x99Kk7mPBT4nsP/NMTRc+nKZNF9KYzx3lf5p8rbm0PSZ7mXyHMjsQsrNC9jz6b9o+tXfD6ZXuKaVxFb4142kNmrqnM9bCPty8TRt6zQvqWQf352/4GngzDxY5PWy9cc5HNr7bHzFxex75jQa5zo1+D+2vYDuW94qs29Bk46k3bakTjM2Lul0Db3Wv1jr/U1syT9pLAUZncnscwFJKQ3YvXY+qY2bQaMWpP2rY5m8zc6+LTpBJpLYrzcyxsQwVQ17w7R4qeFOBlYBZ+EUtOcDl6nqj5XtU5vaElNP5G2GR49BB09A+v+xVofIn3gq6dt/gL+shfSWTmIdCtybT5/AoZ//ufqMpqKx2fDrjzD5/GqzRkJ+1hjShwQ/BX1tWA13cEpquAHWXjGfLkccGY7QjDH13AevTOT8VXc5K2Gq4Y6LUUpUtQgYA8wCVgCvV1XYNgmu6aEwbnetC9sA6WO+dD50JYXtOmre93dl1nfdtIafb9rC3458LyTHr2/2DX0eAB32NDRsBh1PqXaf3xT+vdo8oRDuwrapne3LZkc7BGNMnOq76tGwnyMuCtwAqjpTVY9U1S6qak88Ex9uXgw3ziclvXlp0oEbyWzRig4tGnH/ZadFL7YY1qjHMOefpuOuOJj27KHOx/7Nk96tkH+573Dee/CmsMSiTdqG5bgmBPxmEW2y6N/k7Kw4zroxxlRl9rLNtCE37OeJmwK3MXGpeSdodSRJSR7Ge6/kHx3/w40331Emy+7Bz4b2nJdPhx4Xh/aYEbT/7IdLh4f0c901N7J+zGYuPGcAz5+5qMy2zncvqpA/JC6egtz2E/x5tbN++8aq85uo6ebZwIRHKk4yZYwxVWn++tCInCdeOk0aE/fG3vcEKR4PHk/ZrhkZ/S+DmTeE7kRdz3Zev30OHu7Ivi7n0mjF9NAdP8wadg3cUdnjETq1TAfg2tO6wKel29IauLeyrD/Agkm1P/kxv4ELX4Jy08TT+BCb1j0OPN7gGeDBaIdhjIkjfT2rI3Ieq+E2JkJSk5MqFLbDKikZ7syh0fAX2d3yuMidty7OugcOOab2+w95jHmdA8+5smPo1MD7jHWHD73wJbjk/yoWto0xxpg6sgK3MWGgCFzy38ie9C9r4ebvK6aLkDFmTmRjqa1Taz6E3sLDLi+z3npngGsAJKf7TZ0zcFzpcsNMp/a6x0U1PrcxxhgTDGtSYkwYFP5pLWlNq5+OPKTSW4ZsVJWouG1VjbKv8h3GkZ5NpB8/skx6h93zA+ZPbtWldOWUW52fvS8PmNcYY4wJJavhNiYMPEn2v2xNfNZ0KDRpXaN9XiweDECnzl3LpJefkKpEo0ZNyiaccqvTNtvUK3sKvNEOwRgTJ5Zs3BWxc1mB25gwSGrYNNohVNT13GhHUCnxG94tWMdfcAv9U94kpVFm2Q3n/6t0Oc1vW0pDGLMQ/rSiVjGa2BNo4rZX//d5FCIxxsSjKc9GrpO1VcMZE6zRc8HnhaID8OKZVWatad/IAk8j0nxhHkP4tD/D6lnhPUcttWxY886kF/Ztx4V921Xc0OcqOHoILH8Hel0GD7g150kp0PKIugVqYl6Pre8CA6MdhjEmDjza4LmIncsK3MYE65Cjg85aWbOGyuxu3IW0vKU1jahm2vdnwYCXyZpzZXjPUwvd2jQK7QEbNXeGCAS4Iwd254T2+MYYY0wNWJMSY2JAy26RmXGyYWqDiJynpjy+ovAdPLVJ3YYaNDFr0+rF0Q7BGGOCYjXcxsSApOQ6FIRv/h4CtGUNpH2LJtVnioYuZ0U7AhOHvHt3RDsEY4wJitVwG1MbA+8L7fEapNd+3+adoUWX6vMBjdJSan+eMMnPPBJ6XxbtMEwc0lp0tjXGmGiwArcxtXHKLaGd6vvEMXDKn0J3vEokx+Bwhbvbngo1bPNuDAQepcQYY2KRFbiNCbWu59R8n5SGMPDe0MdSnif2CtzSJ/Y6cZqqicggEVkpImtE5PYA20eKyDYRWey+rglLIFoclsMaY0yoxd7T15h41+eqaEdQubSMaEcAwOaUwznUuwGAtk1ir5mLqZyIJAFPA2cDOcB8EZmhqsvLZZ2mqmPCGYv6AtRwW6W3MSYGWQ23MSGkd2+DY34TmZO17V3zfZoeWrv9Qqx1i0xo3cNZsVrKeNMfWKOq61T1APAaMCw6oVgbbmNMfLACtzF1cc0n0KV0EpzazJhYa3/8DO7ZWbN9klLgus9Zn3pUeGIKNgyPB0rak/uswB1nDgM2+q3nuGnlXSgiP4jIdBFpH45AAnWatO4AxphYZAVuY+qiXRZc+XbpeiSf9h6P86qFA5Ia4mBqSuDiyXD89TFR425C7j2go6r2BGYDUwJlEpFrRWSBiCzYtm1bzc8SoNOk9aM0xsQiK3AbEwpte7kLVr0WlCZtoVlHOO/hWv/TYKJmE+BfY93OTTtIVXNVtdBdfRHoG+hAqvq8qmapalarVq1qHonPmpQYY+JDnZ50InKxiPwoIj4RySq37Q63B/tKETnXLz1g73YR6SQic930aSLSwE1PddfXuNs71iVmY8LiirfhqnehLhPYBOvaz+H6r+p2jCjVAn7XaAD89jn47TPRCcCEwnygq3vPbgBcCszwzyAibf1WhwIrwhGId8uyAKlWxW2MiT11rVpaBlwAfOGfKCLdcG7C3YFBwDMikuTXu/08oBswws0L8DDwmKoeAewERrnpo4Cdbvpjbj5jYkt6C+g8IDLnyuwAbXpE5lwh1j4zFXqPgIaZ0Q7F1JKqFgFjgFk4BenXVfVHERkvIkPdbDe7lTFLgJuBkeGIRYoPhOOwxhgTcnUaFlBVVwBIxXarw4DX3K8U14vIGpye7eD2bnf3ew0YJiIrgDOBkunmpgDjgGfdY41z06cDE0VE1GY8MPXR6bfD9pXwo1+78AZN4MAeGDkTUtKgUfM6n6ZNRhpsrfNhauywjGi3HTehoKozgZnl0u7xW74DuCPccbTMnV8hzRp1GWNiUbjG4T4M+M5v3b8Xe/ne7ccDLYBdbs1J+fwHe8SrapGI7Hbzbw9P6MZE0RluGaWkwH3lO9DpNPAVQXLoCqsZDSM79vXmRkdz6L6fwKbiNiF0RPG6CmlqTUqMMTGo2iYlIvKxiCwL8IrSuKuVq3OPd2NiSZue0OUM8CSFtLANwG+fDe3xqpGWkuQsWIHbhFmh195jxpjYU20Nt6oOrMVxq+rFHig9F8gUkWS3lts/f8mxckQkGchw8weK9XngeYCsrCyr5jDx64ZvIKNd+I7f7PDwHTvQ6dJTYTdW4DZh16I4Cm2ljDGmGuEaj2sGcKk7wkgnoCswj0p6t7vtsT8DLnL3vxp41+9YV7vLFwGfWvttU++17h7+adj/3w/hPb4fae32je5+QcTOaRLTnqTMaIdgjIlj3uLwVAzVqQ23iPwOeApoBXwgIotV9Vy3x/rrwHKgCLhR1Zm/WURKercnAZNU9Uf3cGOB10Tk78D3wEtu+kvAy27Hyx04hXRjTF1Fspa7aTsYtzty5zMJy1OYF+0QjDFxrLDIR0pS6Ouj6zpKydvA25VsewB4IEB6hd7tbvo6Skcy8U8vAC6uS5zGmGizL6VMZKQ1ahztEIwxccwXpgm1bIo3YxJZclpkzuOJ7KgoJnEVNu0Y7RCMMXEtPBVEVuA2JpHdtAhGfRy2w29uNxhO/TOcNCZs5zDGn6SU/hP58fJf6XXfRxR4i6MYkTEmFny5ehsdb/+AHflVT5jVwBOe0fytwG1MIss4DNr3C9vhD23eFM76G6Q0DNs5jCnD79uUyR98yg3eqeTsyI9iQMaYWHDbS7N4t8HdTPx4RZX5wjUuhxW4jTHhY8MAmgjzf1jet/9Brk9+j6Ktq6IYkTEmFsxLu5FennWcvvmlg2n5GmCOCytwG2Pij3WWNBHm/7Ascr46vv+dRVEKxhgTaxqz7+ByuhRW2O4Oqhdy4Zra3RhjwlZTYEzlSr9V6eLZAsAjRQ8C10YpnnKKvbBihjPOfvPOzsuY+iT7KxAPFO6BI8+NdjQVaEp61dvD9NyyArcxJvQkCbQYOp0a7UhMognwsDxUdkQhkErMeRC+/Ffpuo1Pb+qbyeeXLo/dAA0zoxZKieWb8+hWstKg0cH0HTSlOWXH7l86axInXHBzyGOwJiXGGBg1G0ZMC93x2hwLt62CPldXn9eYENq/ag4Qvtni6mzXz9GOwJgIio1vOQt/nn9w+bu12wE44C2uUNgGaL3sxbDEYAVuYwy07w+tjgzd8dr2giatQcIzvJIxlRlQ/A0AWzbnlEnPK/CWWY9agbzYW30eY+oLT+QbUqhqhc/3/+aVjkwyRl4HYMkX7wbcP5misMRlBW5jTGhc+BLcsgyu+RQGT4h2NCaB7dp3gOSiskMB3v/v/+Mbt2brwyUb+OG+/jwzc36ZPN//vDP8BfHdOdXnMaa+CHOBe/veQtZt21sm7fd3/YNX7h1OYZHT+fHNhTncseOuMnmKfcr+/MDNudr7NoUlVitwG2PqxpMMxwyFHhdBZnto1xeSAwy1ZEyEZP6zFR99/L8yaY/svIX8ycMBOO/tnvT1rGb0vIEHty/fuJ01z1/FgLumHnxQh9SBfFjzCWxaUDbdZ5PymHokf3vZ9R9eh3VzwnKqZZt2c8c/HuL1x28rkz65wT+5Onk2f33sRVblbOPC97pX2PelCWM5bdEtYYmrMtZp0hhT0R8/hR3r4c1Rlec5/19OB7X+f4xcXMYEaeSmcRXSzk5ayNcrNnBygPw7ls7m4uQvuDj5C/45uz9/Pa9bgFy15PPBPw4NvG18c+fnnVvKdOaKOfnb4cWB0PRQ6DwATv9rtCOq/6b+FooPQIN0uPyNaEdTtdWz4b8XVUx/z+18mH4I/GV1SE/5h6feY17ao+7avytsfyL/r/x72kYCNZa8dl/F/OFmNdzGGEejlqXLh/WF9FZV5+93jRW2E5SIDBKRlSKyRkRuD7A9VUSmudvnikjHKIQZ0MnTepZZz925E1XllHnXH0zL++r50J50y/fV5/ngturzRNPyd2HnetjwNXz2QLSjSQzrPnOu9+qPoh1J9QIVtv3lbw35Keel3Xhwedu97QH4ePbMMnmu2/NUyM9bW1bDbYxxpDWFe3Y446eCdXg0AYlIEvA0cDaQA8wXkRmqutwv2yhgp6oeISKXAg8Dl0Q+2uq1eKJjhbS/p/yHouJHSU6qZZ1U3mZnnO0GJeP9BvFZ2vhd2fWiwthomjV5CGR/WTF9XIbTOfr3/4vtmvl4s20VPN0Pmh5WNn1chvNzxDQ4alDk4/Kn6nT+TW5Q+2Ps3eq8v9MyarX729/n8Du/9VaSB+MyGFjpHtFnBW5jTClPUsW0jqfCVTPgkc6wf6czhGBBxaGUTMLoD6xR1XUAIvIaMAzwL3APA8a5y9OBiSIiGq4ZJcLgnLtf4tMH/+gUnuf+G/pcBS26lGbwFsD7t0Kzw6H/tfDJfbBkGhTtL81zwo2wZQls+Kr6E+5YB7Pugg4nwrTLS9PTMqDruXDWPU7B950b4IZv4JBuzj/F3v2w+L+Quw7OHg9Jfo/17ath4zw4Zkhpwaa4CJa/Aw2bQeczQH1QmAdLXoVZdzoFvZsWOm3L87cGLmyX2LIEJmbBzd9DUgPn/vDuGOebr84DnGOX3FN8xYHvL4mguMj53UsqMXw+59osmuL8Y9XnKkhpBL4ip7ANkFdJx71XL4Hbf3b6zhQVwj87OekjXoPMw52JlJIawPdT4dA+0KaHc15V2LXBaU99zFBo1Lz0mAV5MPtvcOR5cMRAJ1ZfsTNB01vXwvVfOX0QZt0BG+eWjWfQQ7BrY3DX4bEekPV7+Pk7WD2rND0tw+lof8RAeGe0837tfXnZ67XsTdizGbL+AKlN+N27FdtlxzqJo/tfjWRlZemCBQuqz2iMCSw/1ylkX/oqHD0YnuwDO9bCX9eXvVmbkBORhaqaFe04AhGRi4BBqnqNu34lcLyqjvHLs8zNk+Our3XzbA90TKjlPXtcae1YHuk0Jb+KzKGRT0NASacg7OeqrZ00pVmA8YVj2TaaoQgefLRkV4XtuWSSghdFKMZzcPzkAhqQxoGDeXzutwlpFNLEbwrvErtoQkMK2Es6CiRTTApFpFP6j9IOmgKgbqvbYjx48NGYfRSTVCbvNpqBe5x4u+a5ZNIiwLWOJZH6XFdQiwmpqrtvWw23MSaw9BZlbzpXveO0JbTCtgkREbkWd871Dh061Hj/TVd9x8+fvUjvS8fRNL0Jv2xYybZpN5NZmMPutHaknHQDezYs4fA1L9PKty0kMS9vdiaK0H/n+yE5HsCOlDY09/5S4/0WZZxDn90V2/f+1PxMiiWZU3KnhyK8oBRJCl5JpaFvb4VtO1Na08z7KwB7kpvTpKjizJ/rmzldWUWVlrs+AMArDfBKA4o8qaxpchLpxbvJT8rAJx5O3OGMobyw+W84fN9SiiWFX9K6IDjDOh7wpB38/YskhQJPIxoX72Zb+lH8ktaZBr4CQCmWZIolhUzvr/TI+5z1jXryS1onWhVupFiS2ZnSliT1UtIsqGFxHkfunU8DLXDjPgkQfCRxws7ScZ3XNerFttQOHL/zvTK/Z6GnIam+/cSCNc1Oo8XOGSE7nv/fORS2pHYmvXgXlBvis0BTSJOajWe/RxpzgAZsPuUBPAL71n7LMZveYMVhF9PtkvGkN23G9l9+Jvv/bqbXTa+QErLfopTVcBtjTIyJ8RruE4Fxqnquu34HgKo+6JdnlpvnWxFJBn4BWlXVpMTu2caYeFbdfdtGKTHGGFMT84GuItJJRBoAlwLlq8lmAFe7yxcBn8ZT+21jjAk1a1JijDEmaKpaJCJjgFlAEjBJVX8UkfHAAlWdAbwEvCwia4AdOIVyY4xJWFbgNsYYUyOqOhOYWS7tHr/lAuDiSMdljDGxqt624RaRbcCGWuzaEqi0J32MireY4y1esJgjId7ihfDFfLiqVjPzUP2SYPfscLNrUpFdk8DsulRU22tS5X273ha4a0tEFsRqZ6XKxFvM8RYvWMyREG/xQnzGXN/Y36AiuyYV2TUJzK5LReG6JtZp0hhjjDHGmDCyArcxxhhjjDFhZAXuip6PdgC1EG8xx1u8YDFHQrzFC/EZc31jf4OK7JpUZNckMLsuFYXlmlgbbmOMMcYYY8LIariNMcYYY4wJo4QtcIvIIBFZKSJrROT2ANtTRWSau32uiHSMQpj+8VQX759EZLmI/CAin4jI4dGIs1xMVcbsl+9CEVERiXpP6WBiFpHh7rX+UUReiXSM5WKp7n3RQUQ+E5Hv3ffG4GjEWS6mSSKyVUSWVbJdRORJ93f6QUT6RDrGcvFUF+/lbpxLReQbEekV6RgTVbD3mHgV6L0nIo+IyE/ue+5tEcn023aHey1Wisi5fukBr5M7W+hcN32aO3NozBKR9u79rOT++//Kbb/NfZa0dNcrvZeIyNUistp9Xe2X3tf9LK9x95XI/Ya1IyJpIjJPRJa41+U+N11E5AERWSUiK0TkZr/0en9dAEQkyX3+ve+unyUii0RksYh8JSJHuOmVlvlq+rmqlKom3AtndrS1QGegAbAE6FYuz2jgOXf5UmBajMd7BtDIXb4hmvEGG7ObrwnwBfAdkBXrMQNdge+BZu76ITEe7/PADe5yNyA7mtfYjeM0oA+wrJLtg4EPAQFOAObGeLwn+b0fzot2vInyCvYeE8+vQO894Bwg2V1+GHjYXe7mXoNUoJN7bZKquk7A68Cl7vJzJfeKWH0BbYE+7nITYJXf79IeZ/bTDUBLNy3gvQRoDqxzfzZzl0s+w/PcvOLue160f+8grosAjd3lFGCu+zv8HpgKeNxthyTSdXHj/hPwCvC+u74KOMZdHg1M9luuUOarzeeqslei1nD3B9ao6jpVPQC8Bgwrl2cYMMVdng6cFcX/6KqNV1U/U9V97up3QLsIx1heMNcY4H6ch0ZBJIOrRDAx/xF4WlV3Aqjq1gjH6C+YeBVo6i5nAJsjGF9AqvoFznTflRkGTFXHd0CmiLSNTHQVVRevqn5T8n4gNj57iSLYe0zcCvTeU9WPVLXIXfV/vw0DXlPVQlVdD6zBuUYBr5P7PDsT5/kGzvPut+H8fepKVbeo6iJ3eQ+wAjjM3fwY8Fece16Jyu4l5wKzVXWH+9mdDQxytzVV1e/UKW1NJcavCYD7++11V1Pcl+JUvo1XVZ+br+R5lRDXRUTaAecDL/olV/ZMrKzMV6PPVVXxJGqB+zBgo996DqUf2gp53JvbbqBFRKKrKJh4/Y3C+Q80mqqN2f0aq72qfhDJwKoQzHU+EjhSRL4Wke9EZFDEoqsomHjHAVeISA7OVNw3RSa0Oqnp+z2WxMJnL1HE8/skVP5A6futsutRWXoLYJdf4T2urp/7lf9xwFwRGQZsUtUl5bLV9Joc5i6XT495btOJxcBWnELzXKALcImILBCRD0Wkq5s9Ua7L4zj/hPn80q4BZrrPxCuBh9z0ysp8Nb1WlUrUAne9JSJXAFnAI9GOpSoi4gEeBW6Ldiw1lIzTrGQAMAJ4wb8NZQwagfOVWTucrxFfdq+9CTEROQOnwD022rGY+k9E7gKKgP9GO5ZIE5HGwJvALTjX4E7gnmjGFG2qWqyqvXG+8egvIsfiNIMoUGfWxBeASVEMMaJEZAiwVVUXltt0KzDYfSb+B6ccEhGJ+uDdhNPeq0Q7Ny1gHhFJxvnqITci0VUUTLyIyEDgLmCoqhZGKLbKVBdzE+BYYI6IZOO0DZsh0e04Gcx1zgFmqKrX/XppFU4BPBqCiXcUTjtNVPVbIA1oGZHoai+o93ssEZGeOF9bDlPVaN0nEk3cvU9CRURGAkOAy92v+KHy61FZei5OU4LkcukxTURScArb/1XVt3BqcTsBS9xnSTtgkYi0oebXZBNlm4TFxTXxp6q7gM+AQTjPq7fcTW8DPd3lRLguJwND3ffEa8CZIvIB0Mut/QeYhtMHByov89X0WlUuEo3WY+2FU0u5DudDWtLYvXu5PDdStgH96zEe73E4Dfi7Rvv6BhtzufxziH6nyWCu8yBgirvcEucrpRYxHO+HwEh3+Ric9moSA++PjlTeCfF8ynbomRfj8XbAadd3UrTjTKRXTe8x8foq/95z70HLgVbl8nWnbOeudTgduyq9TsAblO00OTrav28110Jw2g8/XkWebEo7TQa8l+B0ClyP0zGwmbvc3N1WvnPg4Gj/3kFcl1ZAprvcEPgS5x+yh4A/uOkDgPmJdF38rs8A4H33s7AdONJNHwW86S4HLPPV5nNVaRzRvhBR/AMMxqmdXAvc5aaNx6kdBqcm8A2cB+k8oHOMx/sx8Cuw2H3NiPVrXC7vHKJc4A7yOgvOV1DLgaW4D6sYjrcb8LV7M1gMnBMD1/hVYAvgxamBGQVcD1zvd42fdn+npdF+XwQR74vATr/P3oJoX+NEeQV6/9enVyXvvTU4/+iXvN+e88t/l3stVuI3ikRl1wlnhIV57jHfAFKj/TtXcz1Owen09oPf7z+4XJ5sSgvcld5LcNq/r3Ffv/dLzwKWuftMJAYqKIK4Lj1xRs/6wY39Hjc9E/jA/d2/xandTZjr4hf7AEpHKfmd+zsvwSl3dHbTKy3z1fRzVdnLZpo0xhhjjDEmjBK1DbcxxhhjjDERYQVuY4wxxhhjwsgK3MYYY4wxxoSRFbiNMcYYY4wJIytwG2OMMcYYE0ZW4DYJSUQyRWR0FdsbisjnIpIUovP1EJHJoTiWMcYkOhG5WURWiEiFmTZF5DgRecldHikiE8ttn1PVJGsi8prfNOjGhIQVuE2iygQqLXDjjEX6lqoWh+JkqroUaCciHUJxPGOMSXCjgbNV9fIA2+4EnqzDsZ8F/lqH/Y2pwArcJlE9BHQRkcUi8kiA7ZcD7wKISFsR+cLNu0xETnXTzxGRb0VkkYi8ISKN3fR+IvKNiCwRkXki0sQ95ns4M1gZY4ypJRF5DmfSng9F5NZy25oAPVV1SRDHGere1xeLyEoRWe9u+hIY6DftvTF1ZhPfmIQkIh1xZp46NsC2BsDPqtrGXb8NSFPVB9wmJo1wpnl9C2fWqXwRGeumPQT8BFyiqvNFpCmwT1WLRORk4HZV/U0kfkdjjKmvRCQbZ4bE7eXSzwDGqOqF7vpI4BFgk1+2I4ABqrrAb7/Xgc9V9Wl3fTbO/XphOH8PkzjsvzdjKmoJ7PJbnw9MEpEU4B1VXSwip+NOmy4iAA1wps49CtiiqvMBVDXP7zhbgUPDH74xxiSstsC2cmnTVHVMyYqIzPHfKCJ/BfaXFLZdJfdrK3CbkLACtzEV7QfSSlZU9QsROQ04H5gsIo8CO4HZqjrCf0cR6VHFcdPcYxtjjAmPMvfv6ojIQOBi4LRym+x+bULK2nCbRLUHaBJog6ruBJJEJA1ARA4HflXVF4AXgT7Ad8DJInKEmyddRI4EVgJtRaSfm97Erx3gkcCyMP5OxhiT6FbgNBmplntvfxq4WFXLF67tfm1CygrcJiGpai5Oc5BllXSa/Ag4xV0eACwRke+BS4AnVHUbMBJ4VUR+wGlOcrSqHnDzPCUiS4DZlNa2nAF8EKZfyRhjEp6q/gRk+HVWr8pIoAXwjttxciaAiLTGaWLyS/giNYnGOk0aE4CI9AFuVdUrQ3S8VOBz4BRVLQrFMY0xxlTkjlyyR1VfrMP+ear6UmgjM4nMariNCUBVFwGfhWriG6ADTo93K2wbY0x4PQsU1mH/XcCU0IRijMNquI0xxhhjjAkjq+E2xhhjjDEmjKzAbYwxxhhjTBhZgdsYY4wxxpgwsgK3McYYY4wxYWQFbmOMMcYYY8LICtzGGGOMMcaE0f8HowOC+LlZwgEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vxpj5VvkAPP0GI4DPgN+bujq8iqr3auKVHYYTB5VvQW8hqQA8G/oq4eLML/8ufCrRkonLCHavO9pufm0VJzJyeWhUN46n53DToMokV6o2MMac8lr+TEReEZHmxpjjPuq+BrwGnlFKKn1M7cOtlApy1dWlZB4wqkjZw8ByY0wXYLn1GOAKPK0dXfC0bLwK+Qn6E8AQYDDwhIg0sbZ5Ffit13ZFj6VUnVFwG5j/kogFYTP52fHbKu/HO9kGiJZMgELJNsDqfSfYdTSd2+ev56H3N1f5uCp4iUgrq2EFERmM53MmJbBRKaVUYFVLwm2M+Q44UaT4GmC+tTwfuNarfIHxWA00FpFYYCSwzBhzwhhzElgGjLLWNTLGrLZatRd47UupOmXX0dNk5npmEhU/Ntqda9vuv52rOk1E3gZWAV1FJElEbheRu0XkbqvKDcAWEdkEvAjc7K9fJPWHTqVUbeHPPtwtjTGHreUjQEtruTVw0KteklVWWnmSj3IVICtWrGDWrFksWbIk0KHUKXkuN5c/9x0h5DHB/i3/W2Xjpa/38MatA9lx5DT3DO8c6BCVwhgzvoz1s/EMG1gDsXjuE9AuJUqpYFcjN00aY4yI/6coqPoNOEoFTp7b8xa5076EP4W+S16ujXcZzu3zPbPv1eaE+9XQ58gmjD87by9xGEKllFKqrvJnwn1URGKNMYetbiHHrPJfgbZe9dpYZb8Cw4qUr7DK2/ioX0yFbsBZ+jAcqea+pK16wxUzS1y9bt06br/9dtauXYvL5WLw4MEsXLiQXr0KT9ZWtAV5ypQpDBw4kPj4eOLi4hg3bhxLly4lIiKCt956i86dO/Pee+/x5JNPYrfbiY6O5rvvviMxMZFJkyaRkeEZO3n27NkMHTqUFStW8MQTT9C4cWM2b97MuHHj6N27Ny+88AJZWVl89NFHdOrUifj4eBwOB+vXr+fUqVM8++yzjB5deC6LjIwM7r33XrZs2YLT6WT69Olcc8011Xte65lmchqAKLIAzzB8HeQwUHunR7/Cvg6AS20biZIsjqSN5tfUTAa0bxrgyJRSSin/82fCvRi4FZhp/fuxV/kUEXkHzw2SaVZS/gXwV68bJS8HHjHGnBCRUyJyLrAG+D/gJT/G7TeDBg1izJgxPPbYY2RlZXHLLbcUS7bLIzo6ms2bN7NgwQKmTp3KkiVLmDFjBl988QWtW7cmNTUVgBYtWrBs2TIcDge7d+9m/PjxrF/vaS3dtGkT27dvp2nTpnTs2JE77riDtWvX8sILL/DSSy/x/PPPA5CYmMjatWvZu3cvw4cPZ8+ePYViefrppxkxYgRz584lNTWVwYMHc+mllxIZGVmlc1WfnRlOb7z9ax4P/W9++cYD95CZ4+KCLs0DFVqVRYnnS8SwWd+Q7XSTOLP2folQSimlyqu6hgV8G0/rdHMRScIz2shM4F0RuR34BRhnVf8Mz5CAe/AMC/gbACuxfgpYZ9WbYYw5cyPmZAqGBVxq/VVNKS3R/jRt2jQGDRqEw+HgxRdfrNQ+xo8fn//v/fffD8D5559PfHw848aN4/rrrwfA6XQyZcoUEhISsNvt7Nq1K38fgwYNIjY2FoBOnTpx+eWXA57ZL7/55pv8euPGjcNms9GlSxc6duzIjh07CsXy5ZdfsnjxYmbNmgVAdnY2Bw4coHv37pV6bvWaMTwQ8i5dxHPLQmfboUKrr39lJQBNI8Po17Yxb8QPqvAhMnLymLcykXuqHm2VZDt1jG5VdXrTpFKqtqiWhLuUm2gu8VHXgO/Pe2PMXGCuj/L1QMWbgoNQSkoK6enpOJ1OsrOzfbYEh4SE4HYXJCTZ2dmF1ovX8BVnlufMmcOaNWv49NNPGTBgABs2bOCll16iZcuWbNq0CbfbjcPhyN8uPDw8f9lms+U/ttls5OXl+TyWr8fGGN5//326du1a7nOgfDPpydwX8lGJ6y+ybSKUPJZnDGD5jmMl1ivNPz7fwfxVv3CPo+y6/vRAyLtcZPuZ2txNRgUPvWlSKRXsdGr3GnbXXXfx1FNPMXHiRB566CGfddq3b8+2bdvIyckhNTWV5cuXF1q/cOHC/H/PO+88APbu3cuQIUOYMWMGMTExHDx4kLS0NGJjY7HZbLz55pu4XK4Kx/vee+/hdrvZu3cv+/btK5ZYjxw5kpdeeim/pemnn36q8DGUxZT+/7Mg7O+8EfYMG8Pv5JnQV/l+dzKHUrMqdoj0ZKaFLKhKlNXivpCP6GvbF+gwVG2nLdxKqVpCp3avQQsWLCA0NJQJEybgcrkYOnQoX3/9NSNGjChUr23btowbN45evXrRoUMH+vXrV2j9yZMn6dOnD+Hh4bz99tsA/PGPf2T37t0YY7jkkks455xzmDx5MmPHjmXBggWMGjWqUv2q27Vrx+DBgzl16hRz5swp1EoO8PjjjzN16lT69OmD2+2mQ4cO9Xa4wNPZTg6lZtO1VVTldmDK182iqaQz1v49cW+sJcoRwubpI8t9iOuOPE+/kBWVi88PEg6m8syXO5kbP4hQu37/V5WjLdxKqWAndbUP3MCBA82ZGwTP2L59e63vWxwXF8f69etp3tz/N87Fx8czevRobrjhhmrZX104/758s/MYv/nPuvzHO54ahSPUXuH9ZCUnEvHyOeWu/2fn7axxd2P53+4s9zab/zmK3hmrKhybv4yI+ph9yRl89cDFdG7RMNDhBA0R2WCMGRjoOGqSr2t2WQ7/spPY/wzmCM1pNX2vnyJTStUL06Otf9MqtXlZ121t4Vaqij5JKHxz46ksZ6USbuOuWJefv4a+QbYJxRp6vlxsZXRbqWlNXCcZY1uHyMWBDkXVatrCrZQKbppwB9DmzZuZNGlSobLw8HDWrFlT4jaJiYl+jqrAvHnzauxYtVFunpsZS7ZyIjO3ULm7kj8amXJ2KfHmEGeF6tsIroT7L9lP0z1sN/uz7wa0hVsppVTdpAl3APXu3ZuEhIRAh6Eqad3qb/lLwrU8kHs3T4TsZ6W7J8NtCbjNiLI39sGdV7lkeM63exnetUW5+o5LBVvR/a2NKwkERCr+i4BSSilVW9S7hNsYU2xoO+V/dfFegehjawF4NmwOAL/hCwAOVrKJ+8DJDHpWYrsvPv+Ef38Vx4anri2zbrC1cIfj+XUgxE83TP645zjndmyG3abv+bqoDl5WlFJ1VL0aFsDhcJCSklInk79gZowhJSWl2AgntdmKncc4mZHjc53Jy/VZXpbM7Mpt92H4E/yD58tVN9j6cIeJJ55QPyTEK7YfZul//sLrK3ZW+75VkLCu5XpFV0oFu3rVwt2mTRuSkpJITk4OdCj1jsPhoE2bNoEOo9oMe7tLyStzTgONK7zPFpGVfzv2tCWWq16wJdxniB9SpvCtC/lL6H/4YlcojPhnte9fBQ+jv1oqpYJcvUq4Q0ND6dChQ6DDUHWcceeVXcmHo9+9QftKHtNO+W64DLYuJWf441ensOwUACJNRrXvWymllKqIetWlRKlq4So9oZb0I5XabWjOyUptBxAj5Rs31FaJkVBqginnF4aKcLusEVxsodW+bxUctHegUqq20IRbqQpyZ58qdX3Svu0V3mfy6RzWRw6rZEQe76w9wC8pvltz3W7DzKU7CpLQYFPZsRRL3af1xciuCXfdpRm3Uqp20IRbqQpyZpbeEp3nrPjNj58+eye/TXq4siEBsPKjf3H7y0t9rvtp+04eXjOEOPfBKh3DX9yVaKp8e+0B4h7+lJMZvs+30RbuekT7cCulgpsm3EpVkDsztdT1jc/qVOF9xpuPKheMlxfDZvOfPN9Ju+NwyZMpBYOKzrIJ8L81vwCQdDKrUHlmbh57k9PBSrjFHkLC6q/59OUHMcaQ/MsODuzYUPWg6ykRmSsix0RkSwnrRUReFJE9IvKziPSv6RiVUirYaMKtVAW5yki40502kg8fqJlgimhrSyY1Mxenq0ifaHdw9t0+I+zgDxXeZsuvnq49riKt41++OJnY2R0Rq0uJ2EPo+/l1XJX8OnluQ8x/htDuHc/kRCdSkjFBfm6C0DxgVCnrrwC6WH93Aq/6LxT9v1NK1Q6acCtVAcfTc8g5nVJqnaHLryfmX70DNt77008/yrPvLitUJkF6s+QZOU27V2q7Fpxk/o/7C5Vdm76QBpJT0KXEHpa/LjX51/zlo/u30vSlzsiMJpU6dn1ljPkOOFFKlWuABcZjNdBYRGL9Eotbx+FWStUOmnArVQGuf55Ns89+W666CfsP+zka3/4Z+hoTd0zOf5y6/RvsOakBiaW83GLjx9f/wKZVy8qubOkgh1nruIdBv77pc/2Z4Rlt9oLRT3NOF/S/P713df7yr4m7YHo0y+Y9VdHQVXGtAe+bBZKsMr8x2odbKRXkNOFWqgJaSmq562YdS/RbHGVpximOnsom69RJGi+8lq4bZwQslvLISz/B+Un/psvnE8tVPy3TSU9JBGDC6Td81pE8z0ygxlaQcGdnFYzikhcalb98fOlfAbgscVaF4lZVIyJ3ish6EVmvE5IppeoyTbiV8pMMV/neXkeS9pddqYKc2Il8pj2fvPxgte/bH9KP7AEgm/KNKHLOjC95IXR2qXXE7Rm9xLtrT3ZGwZCOpw7vBiDJNCfkrHMA+DZyZPmDViX5FWjr9biNVVaMMeY1Y8xAY8zAmJiYGglOKaUCQRNupcrpRHpOhepn5JRz5I2M6m/ZC8dJQ8lmXM771b5vf3Cne85BBg3KrDt98VbsuLBL6T13bS7r/8trBJTcrNP5yx13zwOgjRwnJ9eTnNvsYSTt3QbTo1m+2HdXFVWmxcD/WaOVnAukGWP80r/KaO9tpVQtoQm3UuX0/H8WVKh+dk52iesyc/O4cc5KrvzzK/z3s2+qGlox4VK56eUDJtNzI2q2hPPTktdY+cYfilU5kZ7DE/96m09WbmKvY1KhdcdOFz/XdpenLHzbe/lluZkFLdyJXW4FYK87lrwcT1cTm01o8+Z5AFyycUp+3T0bv2b/nh2Vemp1jYi8DawCuopIkojcLiJ3i8jdVpXPgH3AHuDfwOQSdlVlBb9eaB9upVRwCym7ilIKYEZK8SSwNBmHd8P060m7/wDR0dH55SbzJOOe+i93hnzKmLBVUL5Z2es0e5Zn0IsccdBv/R8ByHX+nbBQe36dD2beypMhS3nSUXz7OTP/wLSnZxdqzQ51e1q4B8jO/LK87PT8ZePy1LXhxpXtSbjFK2/7scVEHN98QOL2nxh77EVP4XT9zzLGjC9jvQHuqYlYxGrhDnf7nmFVKaWCRa1p4RaRUSKy05pMoWpT8ilVA24/8BAAqc8MzC9L2vA58o84loQ/xhj7qkCFFnRCcjyjh+RKeH7ZoUOFZ8W8I8T3LJoA00LfZMr8VRw8kJhfFmqKdwFyeSfceZ4WcDtuyPNMnmNz5fBzgyEAnH/sfwz49jcFybYKOm5rDPUYOVVGTaWUCqxa0cItInbgZeAyPENMrRORxcaYbdV6IGPISEshsnHzat1tXZCXmUpa6kmaxcYVbgasJXJzcvg1JY242BikhuPfFHM1x1d+RbMVjxCXu6tGj11biNOTCHd37crvHXD80D5aNW+CIzK6lC0LzN4/CrzuPw13ZxWrc/Gev+cvm2xPa7Vd3NishNvuysLhLLkV+0Dibk6eOEHHDnFENWlZrriUH+mkRUqpWqJWJNzAYGCPMWYfgIi8g2dyhepLuN0u1r75GIP3v8Kq5mOJPPc35J34hSZte9Khez+M282pk8k0ahLD9h8+IuPXrbgyTtAoeSNxOTvY0XAIzhZ9iO56ARnSkJ59BuJwOMjKOI09JJS0lCPsXfoSORlp5IRE0bL3CCIcDtL2rCYvshWRLTrgzk7DmX4SV8o+yMshvOdo2rTvRGryIdIzs2jVqQ/NoiLYNP9BOL6bREdXjKMpLRo3xBz6CXv0WTTsejGt2nUlIiKCxs1jSdq/gyM/LyPn6G5OuRw0aNgIh8nmYOIuLpV1fN/xfi4YdRNZh7YT22sYthDPKBHZWels/WYh0W260ap9N068eDHt3EmFTtm3MRPpddN0mjVvAYDLmcP+d/7IiaRd0LAF6RGtadiyA+3OGQ7GjdPlJqZ5DDt++oH0hI8JbTeA3iPjiYiIJOHrd3GseYnkht0IcefQ+PQuUhv3oO9tLxIR0YCUY4doGnMWRw7s4tePn6TZqW1khDYjPfpswjtdSPa+leQZwd64DYPG3k9YeEG/g5++eod2P/yJDlbfjeVNbuKSkwvZFDGYLFskjh5XYo9qzunUk7Tb8FfayHHMtJOIzYbb5WL9x7Nx7PqYPpV8aY1JeQO+9D10nfLolrkRgAjJzS87+dMnhH1+PWuaXEG/3/2HsJI2LkF743NgjHxDDv8PgNaSQuvjHwBgz02nYV7Jc7q0mzeQdtbyQVrSlqPsDenMsS43ERYRRV52Bq0HXEmbTj0AOJS4k5iz2hMa5qMfjKoy71sm3W6DzVb7GgOUUoF37HQ2Lfx8DAnUbHgVISI3AKOMMXdYjycBQ4wxU4rUuxPPVMK0a9duwC+//FL+g7hdMKOpz1XbQnsRlXeCtuYQWSYsPylwG+GILYaDkb2JS0+gJQUzEB6iBTk2B+1dB3Fhw4YbuxgycBBJyTfT5YdjBJuPURj2Sjs6mQMcJoZYKj+6Ra6xEybFR9HIIgwMOAmhkWTiMkIyjYkhlXUNR3B2+hpybBFEm3Qa4GkV3BvRB5yZdMrzDO12nGial7Njcp6xcVKiicHTpcCJHTd2DoR0oEveTvbb4rCJm/auAxwnmibmFHYxHJRYsuxRxDn3ESZ5OI0dBELxPTLIXnsnmuUdpbGkFyo/RQMakVmsfrKJJkbSOE5jmpPKcdOI5vqzdY06ZhrTogLjngfKSWlME5Oa/9hlhB3hvYhwpdPRtZ9dYz7m7P7DKrRPEdlgjBlYds26Y+DAgWb9+vUV2iZx+wbiFo4A4PPrtjDqnLZlbKGUUsXd8fwiXk+93fOgkvfqlHXdri0t3OVijHkNeA08F+8KbWyzs2PU20S07ILJPEH2kR2ERJ9FyqbPaXboG06Etyap2SgiUzaR3uEKugyfRJOmzTkrJISzrF0c/mUXR/ZvIeTUr7D9Y2wYVje7HFteFk4JpeNld9G6Yw+yM0+zZflbSKiDs3pdRPbR3Rw6mkyz5s1p0KARUbGdcOdm8+NXH9DSfprwJq3JcTrpvulvtMv7lZVd/8TQCY+Sl5NFTkYqaadPExPbnsN7N7Nv80oahNrIO3kAcWbgjmpDaOs+9Bl4IeGOCDLTT3PaFUpEhIPQMFi9YBqdE/9HQ7LYYM7G0bQNGbku3G5Dw27Dce74gtDMI/wy5EnOverWQqdsx/rlnPr8aQZnbeCItGBl0+uJbNeH3lf/HiOQl5NB0u5NHP15GTYM7tSD5ES1x0S3pf+IsRxI+IbTO77Bnn6IPa36M+iGBwgVwBZCF3sICV8soOnqv5FFA1a1u5uI4z+zK7ozZ110K23P7ofdbufE0YMcSdxO224DiYpuyrq/jWRQzupCcR5oNIDWd32Y3zXhaNIeIuZeQtgftmJ35sBzHQEKfZmKEc8brjmpbOj3NP2vngxVmAJ8dcPLODe9/LMoKmghqSRKa9LDW9Ere0Ogw8mXaiJJHD6bQzvX0e3im+lwdm92/bQCW2gEEZFRJH39b5of+ZZMexSr4u6ny1kdAx1yHVZwmQ/ZuRjOqZF7NZVSdcwjJx7z+12NtaWF+zxgujFmpPX4EQBjzN9K2qYyrSVBzxiyc3NxhIeXXbcG5Tmd2G2C2IPj+9uxfZtIW7WAnEZx9Lr63krtY/s/L6V7xjr2XLmQzoNHeQqnl68vsS87rnyPbp/dWOnt65szv8D81GAovaZ+yLGkRFovGBLosABY2ffvDL327rIrVoG2cJfPvm1r6fjuZQA8mHs30efdyrSre/gjPKVUHdXpz5/xY+hkWonnl/b63sK9DugiIh3wzFh2MzAhsCEFgEjQJdsAIaHlmx2wprToeA4tOj5TpX10/+NXAHSuYiwrW45n6NG3ie1S+D34j47z+XL7UYbZNvFY6P+qeJS6J3HcMlK2fUvrfiMJDXPQumO3Mrd5Me9a7gv5yK9xrWg8lmF+TrZVBbgLGoxG2Ddyz48XacKtlKoQl9tdkGz7Ua0YFtAYkwdMAb4AtgPvGmO2BjYqpcrWP/4Zsh8+SnTjgu4ov8v9PVNuHs1Xf7uLx55+JYDRBadTpgHtOvfivBsfoF3nnvnlt+Z6hln8q3M8l+f8vdh2F9z5vF/i2Xz5O6zv8WcAQsP15sdg4v0L7VX2tURSfGQapZQqzTBbQo0cp7a0cGOM+QzPDGZK1RqOiMj85d/nTuYn04UDpiUv2Qu+676SN4bJIYur7ZjvnPsReamHyDi6j7tOzqq2/daUg9csoqePX3Luu+tuzn21DW8/eD2vPfNtoXX/Db+ZW9pVvo99UT+cP4+VK5by4Iw59LbbcLtGstzt4KIbppS9sQqYleH3AjcEOgylVC0yL+yfNXKcWpNwK1XbrYy8hN9e2IE7L+pUqHzyX95kw5J/M2B9xWayLMnNo4YDnta/9z/tS8OmsYz88pJq2be//WzvSVyXXj7XDWjflNUz/w+AJfde4Jk03DLhT68CsOaab+HDuxhiKz4N+6x2r/KHA78rVr7j/Ofp9uNUAJLv+4WYpo25ALjgsuvy69jsNi65+feVfFbKb0zhcbijpfiIQ0opFQxqRZcSpeqCdY9eWizZPsNF1ccPfiVvDO+7Lsx/LCKMHX01wwb3Iy77rSrv399yjZ0+j6+kUVTZN6f2al24js36xWBIv76EDfw/n9tce25BP/CnnBPzl7td9ht2xU0gc+puYpo2rkTkKlBqw03/SikFmnAr5Rfrr/6S9D8dLnd9k1W5u6K9TXpsLuc9+F6x8vAQO+//7rwq79/fFvV/s0L1d7rb+F7h9j0We0hYQTeVR2fMBmBD7M0AnB3/Kg0a+3vaA1X9iifcp7OdAYhDKVUb/ZyUWmPH0oRbKT/o0LErDRs0KP8G1TDdfJQjlLMaR/hcN6C970mdgsXPYf2YcM1VFdrmA6/WfG9ul++EKzS04NzY7DaYnsaAu/5VoWOq4OKrhftf3+4LQCRKqdpozOwfa+xYmnAr5Qf2kAoOleh2l12nilxB/XaveNeA/7ouBeCjDtMKlUd2KBiCMcFdMOmMhEeQfO6jHLloZiVjVEHHR8Lt1m4mSqkgFMyfwEoFlVdaPcU/Iv/Ajz2fLLOuLaSC9yMb390gqtOeS+f6/RiVVokkKYMI4rLfovOldxQq79b/Yg5P3sP37SbT5t4v2NNwAACNoqKIGfUnWo0ofuOkqp18tXDbXdkBiEQpVRt1lQM1diwdpUSpcpp8930FD7Y+UWpdu81eoX1n5eRWJqQK6XrBdWw5fZxea6pnNJTqJJVo4T63Y1NW7ztBTFTxIQRjW8QQe5tnItpGv/uAYwe30iKyYZXjVMGm+Otm8KH/An1rPJK6zul0kpSURHa2fqGpaQ6HgzZt2hAaZJPM1QVLwx6psWNpwq2UH9htFeuTvffoKYb5J5RCGjSNrYGjVNxpiarwNnNuGcCqvSm0bFT6ZDRhkY1p0e38yoamahm78f+X1/ooKSmJqKgo4uLikGq450SVjzGGlJQUkpKS6NChQ6DDqXNsUnNd0DThVsoPKvp51LZdnGcO1Uo4MXk7uc5cWpWjbl5U28odxI8S3S1JuqDi/aobNwjjit7B+QVC1Qzj494HMf6/H6I+ys7O1mQ7AESEZs2akZycHOhQVBVpH26lKiE+90/sdZec7Nkr+KGU0WUMd+beX6lYmrY4i1at48pV1xnZslLH8Kcj5z7GuIv6BDoMVQsZn12R9KZJf9FkOzD0vNcNmnArVQm/ib+T5Zd+WuL6inYpubZfGy4fe0fZFasoMjwIf9QSvQzVNiIySkR2isgeEXnYx/p4EUkWkQTrzz8vbh2RRPmQmJjIW2/VzGRf8+bN49ChQzVyLFW76SedUpVw8dkxJc4a+blrUIVbJESEGwaUMJFLNWrbpAJjg9cUbb2pVUTEDrwMXAH0AMaLSA8fVRcaY/paf6/7IxZfo5SIJuH1XmUS7ry8vEodSxNuVV6acCtVzWyRwTvJTAUb3v0m0d2Sb1znWI+CJChVXoOBPcaYfcaYXOAd4JpABKLJdf2ybt06+vTpQ3Z2NhkZGfTs2ZMtW7YUq/fwww/z/fff07dvX5577jkSExO58MIL6d+/P/3792flypUArFixggsvvJAxY8bQo0cP3G43kydPplu3blx22WVceeWVLFq0CIANGzZw8cUXM2DAAEaOHMnhw4dZtGgR69evZ+LEifTt25esrKwaPR+qdgnC35eVqj3eOHsO1+38A5HkEC5OZjpvpvfVNTPsXqqtCY3dJyu0jYQ4MKGRiDPDT1GVj1tsNIuKhAy0S0nt0xo46PU4CRjio95YEbkI2AXcb4w56KNOlfjuw6387clPtrLt0Klq3WePsxrxxNU9S60zaNAgxowZw2OPPUZWVha33HILvXr1KlZv5syZzJo1iyVLlgCQmZnJsmXLcDgc7N69m/Hjx7N+/XoANm7cyJYtW+jQoQOLFi0iMTGRbdu2cezYMbp3785tt92G0+nk3nvv5eOPPyYmJoaFCxfy6KOPMnfuXGbPns2sWbMYOHBgsTiU8qYJt1JVcPuE8RhzM9nTWwBww+9m0LlNzdyY2OhPm3G5nFRoxG+bDXn0EDueuYJup1f6K7QyJZgubGj1ezbsjKJlSx2yrw76BHjbGJMjIncB84ERRSuJyJ3AnQDt2rWr8EF8dSlRddu0adMYNGgQDoeDF198sVzbOJ1OpkyZQkJCAna7nV27duWvGzx4cP5wez/88AM33ngjNpuNVq1aMXz4cAB27tzJli1buOyyywBwuVzExuoISapiNOFWqopEBLHG8mwWGeb34x02TYmVE9gcFR+7OlhMN3fw9XUX8sJXrZjYq3Wgw1EV8yvgPb5kG6ssnzEmxevh68A/fO3IGPMa8BrAwIEDK549+0i4NQX3v7Jaov0pJSWF9PR0nE4n2dnZREZGlrnNc889R8uWLdm0aRNutxuHo2Ds/vJsb4yhZ8+erFq1qkqxq/pNf8tVqhp8HToMAFtI8VkPq9vDDZ+ib/a/qriXwIxV/Iu7Bb/L/T2X94mjecNwnrq2F2EhehmqZdYBXUSkg4iEATcDi70riIh3898YKj3KfOncLlexMr0joG676667eOqpp5g4cSIPPfSQzzpRUVGcPn06/3FaWhqxsbHYbDbefPNNXD5eNwDnn38+77//Pm63m6NHj7JixQoAunbtSnJycn7C7XQ62bp1q89jKVUSbeFWqhr0m/wfPtyWyHVRVRsF5A/OuzBGeCZsTrF1r+ddwTp3V/7426vp3KJ2TlN+hKYsdQ8h4arugQ5FVZIxJk9EpgBfAHZgrjFmq4jMANYbYxYD94nIGCAPOAHE+yOWUz8v8cduVZBasGABoaGhTJgwAZfLxdChQ/n6668ZMaJwb6U+ffpgt9s555xziI+PZ/LkyYwdO5YFCxYwatSoElu1x44dy/Lly+nRowdt27alf//+REdHExYWxqJFi7jvvvtIS0sjLy+PqVOn0rNnT+Lj47n77ruJiIhg1apVRERE1MSpULWQ1NU+cAMHDjRnbopQqraIe/hTwJDomJhfttcdS0s5yZye/6NZ607ED636bG/bZ42ke/rqKkZbcT/ZepE14WOGdm5e48euTURkgzGmXt2FVZlr9q/Tu9CaY4XKVreayLl3v1KdoSlg+/btdO9e978op6en07BhQ1JSUhg8eDA//vgjrVqVZx5f/6ov57/GTY/2UZZWqV2Vdd3WFm6lgk7hZHqPac0luc/wUIsO/Ob8DgGKqXrYbDZNtlW1KZpsg45coqpm9OjRpKamkpuby+OPPx4UybaqGzThViqInN2yIcdO5/BO7jC+cffjzyH/48TAqTzY8GxuuyCuGo9Us0nJFjmbXmYXLze8x3OHnFJ+kuMMzP0JquZt3ryZSZMmFSoLDw9nzZo1ld7nmX7bSlW3KiXcInIjMB3oDgw2xqz3WvcIcDvgAu4zxnxhlY8CXsDT9+91Y8xMq7wDngkUmgEbgEnGmFwRCQcWAAOAFOAmY0xiVeJWKlh9ef/FAMQ97ARg1p8f5ebwkCp3ISkqV2q2n+EuW0dGZ0ynl71RjR5X1T/hIXrbZH3Ru3dvEhISAh2GUuVS1eEBtgDXA995F1rT/N4M9ARGAa+IiL2MKYH/DjxnjOkMnMSTrGP9e9Iqf86qp1S9EOUIrfZkG2BRq/t5zjm22vdbkhC7Z7Tw1o31hiLlXw2yi3czUUqp8spz5vplv1VKuI0x240xO32sugZ4xxiTY4zZD+zBMx2wzymBxZNRjAAWWdvPB6712td8a3kRcIn4IwNRqh5p0LQlL7hqLuGObhDGyxP6888bzym7slJVcFL0VxSlVOXlZGf5Zb/+6sPdGvAeAiHJKgPfUwI3A1KNMXk+6udPI2wNR5Vm1T/un9CVCrxOMZHcPKjiM++V1wOXnU23VlHwsd8OUYRwVR+dmU35X/NQZ6BDUErVav65x6nMhFtEvgJ83ab7qDGmxj6uy6Oq0wQrFSyWPzjMr/sPD7FzXb82NZdw649SqoZIeNkzByqlVEn8NVx2mV1KjDGXGmN6+fgr7aO6pKl/SypPARqLSEiR8kL7stZHW/V9xfqaMWagMWZgTExMWU9NqXrvqpy/cn/u7/x+nOZtOvv9GEoBZEW2yV/+YtMBrn5sDlm5vmcWVErVH2v3JnPVI7M5np5Taj1/9Vr215zKi4GbRSTcGn2kC7CWEqYENp6vE98AN1jb30pB29ti6zHW+q9NXZ2tR6kattXE8aH7Qr/tf7XjAnJv+C89r/M9BbNS1c3YHfnLriX380nIQxz5dV8AI1KqsBUrVjB69OhAh1HvHPrkKT4Nf5TdCd8H5PhVSrhF5DoRSQLOAz4VkS8AjDFbgXeBbcDnwD3GGJfVR/vMlMDbgXetugAPAQ+IyB48fbTfsMrfAJpZ5Q8AD1clZqVUzTEIYb2uBps90KGoesItBa+1nq4dADjTKzdznFKq7ojN3A6AI+toqfX81cJdpZsmjTEfAh+WsO5p4Gkf5Z8Bn/ko34dnFJOi5dnAjVWJUynlW7dWUew4cjrQYShVbbx/ALW7skFg4+LZnN17XuCCqmuWPgxHNlfvPlv1hitmllpl3bp13H777axduxaXy8XgwYNZuHAhvXr1KlRvxYoVzJo1iyVLlgAwZcoUBg4cSHx8PHFxcYwbN46lS5cSERHBW2+9RefOnXnvvfd48sknsdvtREdH891335GYmMikSZPIyMgAYPbs2QwdOpQVK1bwxBNP0LhxYzZv3sy4cePo3bs3L7zwAllZWXz00Ud06tSJ+Ph4HA4H69ev59SpUzz77LPFWrYzMjK499572bJlC06nk+nTp3PNNddU44lVZwzJXQuAEJh7inSmSaXqsYV3ncexU9nwqn/2r7dKqpompmCmyTbiGczqZueHwLzABKSqzaBBgxgzZgyPPfYYWVlZ3HLLLcWS7fKIjo5m8+bNLFiwgKlTp7JkyRJmzJjBF198QevWrUlNTQWgRYsWLFu2DIfDwe7duxk/fjzr13vm99u0aRPbt2+nadOmdOzYkTvuuIO1a9fywgsv8NJLL/H8888DkJiYyNq1a9m7dy/Dhw9nz549hWJ5+umnGTFiBHPnziU1NZXBgwdz6aWXEhmpN//6TRkt2P7qtawJt1L1WHREKNERoSS6W5JMNINsu6p1/0ZTblXj9BYfvyujJdqfpk2bxqBBg3A4HLz44ouV2sf48ePz/73//vsBOP/884mPj2fcuHFcf/31ADidTqZMmUJCQgJ2u51duwquj4MGDSI21jPUaadOnbj88ssBz+yX33zzTX69cePGYbPZ6NKlCx07dmTHjh2FYvnyyy9ZvHgxs2bNAiA7O5sDBw7QvXv3Sj035duuLRs421r2vkJkmnAaSOGbKDcveZVzxz9S7TFowq2UYljuczQjjQ2O6hmx5IRpSFNJ5/uoKzmvWvaoVPl8ufUIQ4BspwtHmbVVbZOSkkJ6ejpOp5Ps7GyfLcEhISG43QW/dGRnZxda791H98zynDlzWLNmDZ9++ikDBgxgw4YNvPTSS7Rs2ZJNmzbhdrtxOApeUeHh4fnLNpst/7HNZiMvL6/Y/kt6bIzh/fffp2vXruU+B6rinGmH85eXfPM9/S4dT7bTRZ6PWxljd/8XqP6E21+jlCil6pFcY+cJ563cnPsYAO/Yr+ZvQ1YTP+k3AY5M1TeP2+YCcPhg4Z/uk48nF3qclqUT5NRGd911F0899RQTJ07koYd8j37Uvn17tm3bRk5ODqmpqSxfvrzQ+oULF+b/e955niaBvXv3MmTIEGbMmEFMTAwHDx4kLS2N2NhYbDYbb775Ji5XxYeXfO+993C73ezdu5d9+/YVS6xHjhzJSy+9lN+N4aeffqrwMVRheS436Tl5hcrSvn05f/nx0P8BsGrjzzSS4rNK2k1esbLqoC3cSqkqGZbzDKdNA/5w/QXccFY0Yxb24r5R/bi0p6/5spTyv8zcPMIpnBzte/UmEi+4j0HDr2XZlkOkvPM79g54nEevG5hfZ+We4wyIa0J4iI6qE4wWLFhAaGgoEyZMwOVyMXToUL7++mtGjBhRqF7btm0ZN24cvXr1okOHDvTr16/Q+pMnT9KnTx/Cw8N5++23AfjjH//I7t27McZwySWXcM455zB58mTGjh3LggULGDVqVKX6Vbdr147Bgwdz6tQp5syZU6iVHODxxx9n6tSp9OnTB7fbTYcOHfJv9lRlO5KWzcnMXLrHNsovmzZvCSl7N/LqX57AZhO+ffd5Ls5dWWg7YwzhyQk+99nGHPFLrFJXh7QeOHCgOXNzg1KqdBf+42tah2byTtpEUkwUzaTskUv2u1vSTE7z6VVraN4wnMt6tKyBSOsHEdlgjBlYds26o1LX7OnRPot3utuwpNMTPLj/tz62SeOnaQPoZ9uT/xhg875DZM67jsect7HkqTs06S5i+/btdaJfcVxcHOvXr6d58+Z+P1Z8fDyjR4/mhhtuKLtyGerK+a9OPyel8uarT3OO7OWWv3xQsMK6Lvyh9ZtMHdaeNv+7qNi29zV5hZkn7i/Wf7tgHxUfSrSs67a2cCul+P5PI3CfToZnyr/NtbaXSMt2kji4nf8CU6oSutqS6Oor2QYSNv1UkGx7SVr3MVfYdvCv0Gf5+9ILmXZ1D3+HqZSqgjGzfyTR8VqJ62f9Oomlb11IGx/rXjw5ucaH0dI+3EopACTC85Pcc3me1pjDEV1Krb/ykUtImHa53+NSwUdERonIThHZIyLFJiOzZhleaK1fIyJxAQjTp74fDiv0OOVkKsYYrtjueRodbUeY++P+AESmKmrz5s307du30N+QIUNK3SYxMbFGWrcB5s2bVy2t26psHz9+BQDffP5+ofIrTGBmlfRFW7iVUgBISDhMT+MvADxP+v59ML9fsWGTfrn0Ndo3shEZrpeP+khE7MDLwGVAErBORBYbY7Z5VbsdOGmM6SwiNwN/B26q+WjL1uyF9j7LM3Ly9DUe5Hr37k1CQkKgw1ABsOTnQ4RRcOPzNfaVMD2a4QGMqSzawq2U8qlJTGs6Zv+X/wx4n2ON+5IT0hCAxnF9oI9O/lqPDQb2GGP2GWNygXeAolPjXQPMt5YXAZeIv+ZL9oP/s39Bzye+CHQYQaeu3vMV7PS8F2EMv39rPbsctwY6kgrRr+9KKZ+aNwxnw+MjiY4IxWb7Fl4bDoc2Et1ARzeu51oDB70eJwFFf8fPr2OMyRORNKAZcLxGIqyiGaHzmRE6nyNPNMFWe74n+JWc+yjH7Jk0iQwpNpa0Kp/KnDW3MZzMyEN++YljC6+s9piClQ03dtzYcVnLrvzHdgx7a+HHkCbcSqkSNYkMK3hw81uw7WNo2iFwAak6RUTuBO4Ez/BpFXXo1jUkrf2INoPG0OysODJPHiN53gQQO+HONGTsa5w8tJ+Ijf/m7MwNFdr3+64LCQsLp1WjgglODIJgfMygaihIp0paPvM4UEpK93zHKF5rDMC+VWSFNuFww5hS9qWqn8GkJ+Pct5pTTYaWWdejov8/Zb0uS3vtlKW094rvfQrgFjtGbLglBCN2DDaMzY4RO4kncjiRmcvUkA9K2U9hvxDL8UY9MO0vICIEOm56Brs7h13R59PzvkWcTj1JxukT/PLZM/T9zfN+mTRLhwVUSqkgE8zDAorIecB0Y8xI6/EjAMaYv3nV+cKqs0pEQoAjQIwp5QNHr9lKqdqsrOu29uFWSilVEeuALiLSQUTCgJuBxUXqLAbOdLC8Afi6tGRbKaXqOu1SopRSqtysPtlTgC8AOzDXGLNVRGYA640xi4E3gDdFZA9wAk9SrpRS9ZYm3EoppSrEGPMZ8FmRsmley9mADmWjlFKWOtuHW0SSgV8qsWlzasmd9F5qW8y1LV7QmGtCbYsX/Bdze2NMjB/2G7Tq2TXb3/ScFKfnxDc9L8VV9pyUet2uswl3ZYnI+mC9WakktS3m2hYvaMw1obbFC7Uz5rpG/w+K03NSnJ4T3/S8FOevc6I3TSqllFJKKeVHmnArpZRSSinlR5pwF/daoAOohNoWc22LFzTmmlDb4oXaGXNdo/8Hxek5KU7PiW96XorzyznRPtxKKaWUUkr5kbZwK6WUUkop5Uf1NuEWkVEislNE9ojIwz7Wh4vIQmv9GhGJC0CY3vGUFe8DIrJNRH4WkeUi0j4QcRaJqdSYveqNFREjIgG/U7o8MYvIOOtcbxWRt2o6xiKxlPW6aCci34jIT9Zr48pAxFkkprkickxEtpSwXkTkRes5/Swi/Ws6xiLxlBXvRCvOzSKyUkTOqekY66vyXmNqK1+vPRH5p4jssF5zH4pIY691j1jnYqeIjPQq93merNlC11jlC62ZQ4OWiLS1rmdnrr+/L7L+QeuzpLn1uMRriYjcKiK7rb9bvcoHWO/lPda2UnPPsHJExCEia0Vkk3VenrTKRUSeFpFdIrJdRO7zKq/z5wVAROzW598S6/ElIrJRRBJE5AcR6WyVl5jzVfR9VSJjTL37wzM72l6gIxAGbAJ6FKkzGZhjLd8MLAzyeIcDDazl3wUy3vLGbNWLAr4DVgMDgz1moAvwE9DEetwiyON9DfidtdwDSAzkObbiuAjoD2wpYf2VwFJAgHOBNUEe71Cv18MVgY63vvyV9xpTm/98vfaAy4EQa/nvwN+t5R7WOQgHOljnxl7aeQLeBW62luecuVYE6x8QC/S3lqOAXV7PpS2e2U9/AZpbZT6vJUBTYJ/1bxNr+cx7eK1VV6xtrwj08y7HeRGgobUcCqyxnsNvgAWAzVrXoj6dFyvuB4C3gCXW411Ad2t5MjDPa7lYzleZ91VJf/W1hXswsMcYs88Ykwu8A1xTpM41wHxreRFwSQC/0ZUZrzHmG2NMpvVwNdCmhmMsqjznGOApPB8a2TUZXAnKE/NvgZeNMScBjDHHajhGb+WJ1wCNrOVo4FANxueTMeY7PNN9l+QaYIHxWA00FpHYmomuuLLiNcasPPN6IDjee/VFea8xtZav154x5ktjTJ710Pv1dg3wjjEmxxizH9iD5xz5PE/W59kIPJ9v4Pm8u9afz6eqjDGHjTEbreXTwHagtbX6OeBPeK55Z5R0LRkJLDPGnLDeu8uAUda6RsaY1caTbS0gyM8JgPX80q2HodafwdP4NsMY47bqnfm8qhfnRUTaAFcBr3sVl/SZWFLOV6H3VWnx1NeEuzVw0OtxEgVv2mJ1rItbGtCsRqIrrjzxersdzzfQQCozZutnrLbGmE9rMrBSlOc8nw2cLSI/ishqERlVY9EVV554pwO3iEgSnqm4762Z0Kqkoq/3YBIM7736oja/TqrLbRS83ko6HyWVNwNSvZL3WnX+rJ/8+wFrROQa4FdjzKYi1Sp6Tlpby0XLg57VdSIBOIYnaV4DdAJuEpH1IrJURLpY1evLeXkez5cwt1fZHcBn1mfiJGCmVV5SzlfRc1Wi+ppw11kicgswEPhnoGMpjYjYgGeBBwMdSwWF4OlWMgwYD/zbuw9lEBqP5yezNnh+RnzTOveqmonIcDwJ90OBjkXVfSLyKJAH/C/QsdQ0EWkIvA9MxXMO/gxMC2RMgWaMcRlj+uL5xWOwiPTC0w0i23hmTfw3MDeAIdYoERkNHDPGbCiy6n7gSusz8T948pAaUV8/eH/F09/rjDZWmc86IhKC56eHlBqJrrjyxIuIXAo8CowxxuTUUGwlKSvmKKAXsEJEEvH0DVssgb1xsjznOQlYbIxxWj8v7cKTgAdCeeK9HU8/TYwxqwAH0LxGoqu8cr3eg4mI9MHzs+U1xphAXSfqm1r3OqkuIhIPjAYmWj/xQ8nno6TyFDxdCUKKlAc1EQnFk2z/zxjzAZ5W3A7AJuuzpA2wUURaUfFz8iuFu4TVinPizRiTCnwDjMLzefWBtepDoI+1XB/Oy/nAGOs18Q4wQkQ+Bc6xWv8BFuK5BwdKzvkqeq5KVhOd1oPtD08r5T48b9Iznd17FqlzD4U70L8b5PH2w9OBv0ugz295Yy5SfwWBv2myPOd5FDDfWm6O5yelZkEc71Ig3lrujqe/mgTB6yOOkm9CvIrCN/SsDfJ42+Hp1zc00HHWp7+KXmNq61/R1551DdoGxBSp15PCN3ftw3NjV4nnCXiPwjdNTg708y3jXAie/sPPl1InkYKbJn1eS/DcFLgfz42BTazlpta6ojcHXhno512O8xIDNLaWI4Dv8XwhmwncZpUPA9bVp/PidX6GAUus98Jx4Gyr/HbgfWvZZ85XmfdViXEE+kQE8D/gSjytk3uBR62yGXhah8HTEvgeng/StUDHII/3K+AokGD9LQ72c1yk7goCnHCX8zwLnp+gtgGbsT6sgjjeHsCP1sUgAbg8CM7x28BhwImnBeZ24G7gbq9z/LL1nDYH+nVRjnhfB056vffWB/oc15c/X6//uvRXwmtvD54v+mdeb3O86j9qnYudeI0iUdJ5wjPCwlprn+8B4YF+zmWcjwvw3PT2s9fzv7JInUQKEu4SryV4+r/vsf5+41U+ENhibTObIGigKMd56YNn9KyfrdinWeWNgU+t574KT+tuvTkvXrEPo2CUkuus57wJT97R0SovMeer6PuqpD+daVIppZRSSik/qq99uJVSSimllKoRmnArpZRSSinlR5pwK6WUUkop5UeacCullFJKKeVHmnArpZRSSinlR5pwq3pJRBqLyORS1keIyLciYq+m4/UWkXnVsS+llKrvROQ+EdkuIsVm2hSRfiLyhrUcLyKzi6xfUdokayLyjtc06EpVC024VX3VGCgx4cYzFukHxhhXdRzMGLMZaCMi7apjf0opVc9NBi4zxkz0se7PwItV2PerwJ+qsL1SxWjCreqrmUAnEUkQkX/6WD8R+BhARGJF5Dur7hYRudAqv1xEVonIRhF5T0QaWuWDRGSliGwSkbUiEmXt8xM8M1gppZSqJBGZg2fSnqUicn+RdVFAH2PMpnLsZ4x1XU8QkZ0ist9a9T1wqde090pVmU58o+olEYnDM/NULx/rwoADxphW1uMHAYcx5mmri0kDPNO8foBn1qkMEXnIKpsJ7ABuMsasE5FGQKYxJk9EzgceNsZcXRPPUSml6ioRScQzQ+LxIuXDgSnGmLHW43jgn8CvXtU6A8OMMeu9tnsX+NYY87L1eBme6/UGfz4PVX/otzelimsOpHo9XgfMFZFQ4CNjTIKIXIw1bbqIAIThmTq3K3DYGLMOwBhzyms/x4Cz/B++UkrVW7FAcpGyhcaYKWceiMgK75Ui8icg60yybTlzvdaEW1ULTbiVKi4LcJx5YIz5TkQuAq4C5onIs8BJYJkxZrz3hiLSu5T9Oqx9K6WU8o9C1++yiMilwI3ARUVW6fVaVSvtw63qq9NAlK8VxpiTgF1EHAAi0h44aoz5N/A60B9YDZwvIp2tOpEicjawE4gVkUFWeZRXP8CzgS1+fE5KKVXfbcfTZaRM1rX9ZeBGY0zR5Fqv16paacKt6iVjTAqe7iBbSrhp8kvgAmt5GLBJRH4CbgJeMMYkA/HA2yLyM57uJN2MMblWnZdEZBOwjILWluHAp356SkopVe8ZY3YA0V43q5cmHmgGfGTdOPkZgIi0xNPF5Ij/IlX1jd40qZQPItIfuN8YM6ma9hcOfAtcYIzJq459KqWUKs4aueS0Meb1Kmx/yhjzRvVGpuozbeFWygdjzEbgm+qa+AZoh+eOd022lVLKv14FcqqwfSowv3pCUcpDW7iVUkoppZTyI23hVkoppZRSyo804VZKKaWUUsqPNOFWSimllFLKjzThVkoppZRSyo804VZKKaWUUsqPNOFWSimllFLKj/4fW+pFdZLp36QAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.io import wavfile\n",
    "\n",
    "import csv\n",
    "with open('../data/snr.csv', 'r') as csv_file:\n",
    "    csv_reader = csv.reader(csv_file)\n",
    "    for row in csv_reader:\n",
    "        print(row)\n",
    "        _, data_up = wavfile.read(f'../{row[0]}')\n",
    "        _, data_target = wavfile.read(f'../{row[1]}')\n",
    "\n",
    "        start1 = int(row[2])\n",
    "        start2 = int(row[3])\n",
    "        length = int(row[4])\n",
    "\n",
    "        data_up = data_up[start1:start1+length]\n",
    "        data_target = data_target[start2:start2+length]\n",
    "\n",
    "        evaluate_visual(data_up, data_target, 48e3)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
